[{"citation":{"bibtex":"@inproceedings{Ringkamp_Leyendecker_Ober-Blöbaum_2013, title={Multiobjective optimal control of a four-body kinematic chain}, volume={13(1)}, booktitle={Proceedings of Applied Mathematics and Mechanics}, author={Ringkamp, M. and Leyendecker, S. and Ober-Blöbaum, Sina}, year={2013}, pages={27–28} }","ama":"Ringkamp M, Leyendecker S, Ober-Blöbaum S. Multiobjective optimal control of a four-body kinematic chain. In: <i>Proceedings of Applied Mathematics and Mechanics</i>. Vol 13(1). ; 2013:27-28.","mla":"Ringkamp, M., et al. “Multiobjective Optimal Control of a Four-Body Kinematic Chain.” <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013, pp. 27–28.","chicago":"Ringkamp, M., S. Leyendecker, and Sina Ober-Blöbaum. “Multiobjective Optimal Control of a Four-Body Kinematic Chain.” In <i>Proceedings of Applied Mathematics and Mechanics</i>, 13(1):27–28, 2013.","short":"M. Ringkamp, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 27–28.","ieee":"M. Ringkamp, S. Leyendecker, and S. Ober-Blöbaum, “Multiobjective optimal control of a four-body kinematic chain,” in <i>Proceedings of Applied Mathematics and Mechanics</i>, 2013, vol. 13(1), pp. 27–28.","apa":"Ringkamp, M., Leyendecker, S., &#38; Ober-Blöbaum, S. (2013). Multiobjective optimal control of a four-body kinematic chain. <i>Proceedings of Applied Mathematics and Mechanics</i>, <i>13(1)</i>, 27–28."},"publication":"Proceedings of Applied Mathematics and Mechanics","date_created":"2022-01-20T09:12:42Z","department":[{"_id":"636"}],"type":"conference","author":[{"first_name":"M.","last_name":"Ringkamp","full_name":"Ringkamp, M."},{"first_name":"S.","last_name":"Leyendecker","full_name":"Leyendecker, S."},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"}],"title":"Multiobjective optimal control of a four-body kinematic chain","year":"2013","status":"public","date_updated":"2022-01-24T08:16:55Z","_id":"29492","language":[{"iso":"eng"}],"page":"27-28","volume":"13(1)","user_id":"15694"},{"department":[{"_id":"636"}],"type":"conference","date_created":"2022-01-19T11:17:13Z","citation":{"apa":"Gail, T., Leyendecker, S., &#38; Ober-Blöbaum, S. (2013). Computing time investigations of variational multirate systems. <i>Proceedings of Applied Mathematics and Mechanics</i>, <i>13(1)</i>, 43–44.","ieee":"T. Gail, S. Leyendecker, and S. Ober-Blöbaum, “Computing time investigations of variational multirate systems,” in <i>Proceedings of Applied Mathematics and Mechanics</i>, 2013, vol. 13(1), pp. 43–44.","short":"T. Gail, S. Leyendecker, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 43–44.","chicago":"Gail, T. , S.  Leyendecker, and Sina Ober-Blöbaum. “Computing Time Investigations of Variational Multirate Systems.” In <i>Proceedings of Applied Mathematics and Mechanics</i>, 13(1):43–44, 2013.","mla":"Gail, T., et al. “Computing Time Investigations of Variational Multirate Systems.” <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013, pp. 43–44.","ama":"Gail T, Leyendecker S, Ober-Blöbaum S. Computing time investigations of variational multirate systems. In: <i>Proceedings of Applied Mathematics and Mechanics</i>. Vol 13(1). ; 2013:43-44.","bibtex":"@inproceedings{Gail_Leyendecker_Ober-Blöbaum_2013, title={Computing time investigations of variational multirate systems}, volume={13(1)}, booktitle={Proceedings of Applied Mathematics and Mechanics}, author={Gail, T.  and Leyendecker, S.  and Ober-Blöbaum, Sina}, year={2013}, pages={43–44} }"},"publication":"Proceedings of Applied Mathematics and Mechanics","volume":"13(1)","user_id":"15694","_id":"29445","language":[{"iso":"eng"}],"page":"43-44","date_updated":"2022-01-24T08:15:38Z","author":[{"first_name":"T. ","last_name":"Gail","full_name":"Gail, T. "},{"full_name":"Leyendecker, S. ","last_name":"Leyendecker","first_name":"S. "},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"}],"year":"2013","title":"Computing time investigations of variational multirate systems","status":"public"},{"page":"401-402","_id":"29490","language":[{"iso":"eng"}],"user_id":"15694","volume":"13(1)","year":"2013","status":"public","title":"Optimization for discretized switched systems","author":[{"full_name":"Flaßkamp, K.","last_name":"Flaßkamp","first_name":"K."},{"first_name":"T.","last_name":"Murphey","full_name":"Murphey, T."},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"}],"date_updated":"2022-01-24T08:12:25Z","date_created":"2022-01-20T09:07:18Z","type":"conference","department":[{"_id":"636"}],"publication":"Proceedings of Applied Mathematics and Mechanics","citation":{"mla":"Flaßkamp, K., et al. “Optimization for Discretized Switched Systems.” <i>Proceedings of Applied Mathematics and Mechanics</i>, vol. 13(1), 2013, pp. 401–02.","ama":"Flaßkamp K, Murphey T, Ober-Blöbaum S. Optimization for discretized switched systems. In: <i>Proceedings of Applied Mathematics and Mechanics</i>. Vol 13(1). ; 2013:401-402.","bibtex":"@inproceedings{Flaßkamp_Murphey_Ober-Blöbaum_2013, title={Optimization for discretized switched systems}, volume={13(1)}, booktitle={Proceedings of Applied Mathematics and Mechanics}, author={Flaßkamp, K. and Murphey, T. and Ober-Blöbaum, Sina}, year={2013}, pages={401–402} }","apa":"Flaßkamp, K., Murphey, T., &#38; Ober-Blöbaum, S. (2013). Optimization for discretized switched systems. <i>Proceedings of Applied Mathematics and Mechanics</i>, <i>13(1)</i>, 401–402.","ieee":"K. Flaßkamp, T. Murphey, and S. Ober-Blöbaum, “Optimization for discretized switched systems,” in <i>Proceedings of Applied Mathematics and Mechanics</i>, 2013, vol. 13(1), pp. 401–402.","chicago":"Flaßkamp, K., T. Murphey, and Sina Ober-Blöbaum. “Optimization for Discretized Switched Systems.” In <i>Proceedings of Applied Mathematics and Mechanics</i>, 13(1):401–2, 2013.","short":"K. Flaßkamp, T. Murphey, S. Ober-Blöbaum, in: Proceedings of Applied Mathematics and Mechanics, 2013, pp. 401–402."}},{"intvolume":"        87","date_updated":"2024-02-19T06:54:41Z","publication_status":"published","author":[{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"},{"first_name":"M.","last_name":"Laubinger","full_name":"Laubinger, M."},{"last_name":"Alldridge","first_name":"A.","full_name":"Alldridge, A."}],"year":"2013","status":"public","title":"Harmonic analysis on Heisenberg-Clifford Lie supergroups","volume":87,"user_id":"49063","_id":"51395","language":[{"iso":"eng"}],"page":"561-585","citation":{"mla":"Hilgert, Joachim, et al. “Harmonic Analysis on Heisenberg-Clifford Lie Supergroups.” <i>J. London Math. Soc.</i>, vol. 87, 2013, pp. 561–85.","ama":"Hilgert J, Laubinger M, Alldridge A. Harmonic analysis on Heisenberg-Clifford Lie supergroups. <i>J London Math Soc</i>. 2013;87:561-585.","bibtex":"@article{Hilgert_Laubinger_Alldridge_2013, title={Harmonic analysis on Heisenberg-Clifford Lie supergroups}, volume={87}, journal={J. London Math. Soc.}, author={Hilgert, Joachim and Laubinger, M. and Alldridge, A.}, year={2013}, pages={561–585} }","apa":"Hilgert, J., Laubinger, M., &#38; Alldridge, A. (2013). Harmonic analysis on Heisenberg-Clifford Lie supergroups. <i>J. London Math. Soc.</i>, <i>87</i>, 561–585.","ieee":"J. Hilgert, M. Laubinger, and A. Alldridge, “Harmonic analysis on Heisenberg-Clifford Lie supergroups,” <i>J. London Math. Soc.</i>, vol. 87, pp. 561–585, 2013.","chicago":"Hilgert, Joachim, M. Laubinger, and A. Alldridge. “Harmonic Analysis on Heisenberg-Clifford Lie Supergroups.” <i>J. London Math. Soc.</i> 87 (2013): 561–85.","short":"J. Hilgert, M. Laubinger, A. Alldridge, J. London Math. Soc. 87 (2013) 561–585."},"publication":"J. London Math. Soc.","department":[{"_id":"91"}],"type":"journal_article","date_created":"2024-02-19T06:53:28Z"},{"page":"435-456","publisher":"Springer Science and Business Media LLC","_id":"48332","user_id":"37888","volume":25,"status":"public","citation":{"chicago":"Prediger, Susanne, and Lena Wessel. “Fostering German-Language Learners’ Constructions of Meanings for Fractions—Design and Effects of a Language- and Mathematics-Integrated Intervention.” <i>Mathematics Education Research Journal</i> 25, no. 3 (2013): 435–56. <a href=\"https://doi.org/10.1007/s13394-013-0079-2\">https://doi.org/10.1007/s13394-013-0079-2</a>.","short":"S. Prediger, L. Wessel, Mathematics Education Research Journal 25 (2013) 435–456.","apa":"Prediger, S., &#38; Wessel, L. (2013). Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention. <i>Mathematics Education Research Journal</i>, <i>25</i>(3), 435–456. <a href=\"https://doi.org/10.1007/s13394-013-0079-2\">https://doi.org/10.1007/s13394-013-0079-2</a>","ieee":"S. Prediger and L. Wessel, “Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention,” <i>Mathematics Education Research Journal</i>, vol. 25, no. 3, pp. 435–456, 2013, doi: <a href=\"https://doi.org/10.1007/s13394-013-0079-2\">10.1007/s13394-013-0079-2</a>.","ama":"Prediger S, Wessel L. Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention. <i>Mathematics Education Research Journal</i>. 2013;25(3):435-456. doi:<a href=\"https://doi.org/10.1007/s13394-013-0079-2\">10.1007/s13394-013-0079-2</a>","bibtex":"@article{Prediger_Wessel_2013, title={Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention}, volume={25}, DOI={<a href=\"https://doi.org/10.1007/s13394-013-0079-2\">10.1007/s13394-013-0079-2</a>}, number={3}, journal={Mathematics Education Research Journal}, publisher={Springer Science and Business Media LLC}, author={Prediger, Susanne and Wessel, Lena}, year={2013}, pages={435–456} }","mla":"Prediger, Susanne, and Lena Wessel. “Fostering German-Language Learners’ Constructions of Meanings for Fractions—Design and Effects of a Language- and Mathematics-Integrated Intervention.” <i>Mathematics Education Research Journal</i>, vol. 25, no. 3, Springer Science and Business Media LLC, 2013, pp. 435–56, doi:<a href=\"https://doi.org/10.1007/s13394-013-0079-2\">10.1007/s13394-013-0079-2</a>."},"language":[{"iso":"eng"}],"doi":"10.1007/s13394-013-0079-2","title":"Fostering German-language learners’ constructions of meanings for fractions—design and effects of a language- and mathematics-integrated intervention","year":"2013","author":[{"full_name":"Prediger, Susanne","first_name":"Susanne","last_name":"Prediger"},{"id":"85190","full_name":"Wessel, Lena","last_name":"Wessel","first_name":"Lena"}],"publication_identifier":{"issn":["1033-2170","2211-050X"]},"date_updated":"2024-04-18T09:05:03Z","publication_status":"published","intvolume":"        25","date_created":"2023-10-19T10:00:32Z","keyword":["Education","General Mathematics"],"type":"journal_article","department":[{"_id":"643"}],"publication":"Mathematics Education Research Journal","issue":"3"},{"citation":{"ieee":"S. Prediger, L. Wessel, K. Tschierschky, B. Seipp, and E. Özdil, “Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache,” in <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i>, S. Hußmann and C. Selter, Eds. Münster: Waxmann, 2013, pp. 171–192.","mla":"Prediger, Susanne, et al. “Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache.” <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i>, edited by S. Hußmann and C. Selter, Waxmann, 2013, pp. 171–192.","apa":"Prediger, S., Wessel, L., Tschierschky, K., Seipp, B., &#38; Özdil, E. (2013). Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache. In S. Hußmann &#38; C. Selter (Eds.), <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i> (pp. 171–192). Waxmann.","bibtex":"@inbook{Prediger_Wessel_Tschierschky_Seipp_Özdil_2013, place={Münster}, title={Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache}, booktitle={Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT}, publisher={Waxmann}, author={Prediger, Susanne and Wessel, Lena and Tschierschky, K and Seipp, B and Özdil, E}, editor={Hußmann, S. and Selter, C.}, year={2013}, pages={171–192} }","ama":"Prediger S, Wessel L, Tschierschky K, Seipp B, Özdil E. Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache. In: Hußmann S, Selter C, eds. <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i>. Waxmann; 2013:171–192.","short":"S. Prediger, L. Wessel, K. Tschierschky, B. Seipp, E. Özdil, in: S. Hußmann, C. Selter (Eds.), Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT, Waxmann, Münster, 2013, pp. 171–192.","chicago":"Prediger, Susanne, Lena Wessel, K Tschierschky, B Seipp, and E Özdil. “Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache.” In <i>Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT</i>, edited by S. Hußmann and C. Selter, 171–192. Münster: Waxmann, 2013."},"publication":"Diagnose und individuelle Förderung in der MINT-Lehrerbildung. Das Projekt dortMINT","date_created":"2023-10-19T10:02:45Z","place":"Münster","department":[{"_id":"643"}],"type":"book_chapter","author":[{"first_name":"Susanne","last_name":"Prediger","full_name":"Prediger, Susanne"},{"id":"85190","full_name":"Wessel, Lena","first_name":"Lena","last_name":"Wessel"},{"full_name":"Tschierschky, K","first_name":"K","last_name":"Tschierschky"},{"full_name":"Seipp, B","first_name":"B","last_name":"Seipp"},{"full_name":"Özdil, E","last_name":"Özdil","first_name":"E"}],"year":"2013","status":"public","title":"Diagnose und Förderung schulpraktisch erproben-am Beispiel Mathematiklernen bei Deutsch als Zweitsprache","date_updated":"2024-04-18T09:07:27Z","_id":"48333","language":[{"iso":"ger"}],"publisher":"Waxmann","page":"171–192","editor":[{"full_name":"Hußmann, S.","last_name":"Hußmann","first_name":"S."},{"first_name":"C.","last_name":"Selter","full_name":"Selter, C."}],"user_id":"37888"},{"date_created":"2023-10-19T09:53:39Z","department":[{"_id":"643"}],"type":"journal_article","citation":{"chicago":"Prediger, Susanne, N. Krägeloh, and Lena Wessel. “Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. .” <i>Praxis der Mathematik in der Schule</i> 55, no. 52 (2013): 9–14.","short":"S. Prediger, N. Krägeloh, L. Wessel, Praxis der Mathematik in der Schule 55 (2013) 9–14.","apa":"Prediger, S., Krägeloh, N., &#38; Wessel, L. (2013). Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. . <i>Praxis der Mathematik in der Schule</i>, <i>55</i>(52), 9–14.","ieee":"S. Prediger, N. Krägeloh, and L. Wessel, “Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. ,” <i>Praxis der Mathematik in der Schule</i>, vol. 55, no. 52, pp. 9–14, 2013.","ama":"Prediger S, Krägeloh N, Wessel L. Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. . <i>Praxis der Mathematik in der Schule</i>. 2013;55(52):9-14.","bibtex":"@article{Prediger_Krägeloh_Wessel_2013, title={Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. }, volume={55}, number={52}, journal={Praxis der Mathematik in der Schule}, author={Prediger, Susanne and Krägeloh, N. and Wessel, Lena}, year={2013}, pages={9–14} }","mla":"Prediger, Susanne, et al. “Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. .” <i>Praxis der Mathematik in der Schule</i>, vol. 55, no. 52, 2013, pp. 9–14."},"issue":"52","publication":"Praxis der Mathematik in der Schule","language":[{"iso":"ger"}],"_id":"48329","page":"9-14","volume":55,"user_id":"37888","author":[{"last_name":"Prediger","first_name":"Susanne","full_name":"Prediger, Susanne"},{"first_name":"N.","last_name":"Krägeloh","full_name":"Krägeloh, N."},{"first_name":"Lena","last_name":"Wessel","full_name":"Wessel, Lena","id":"85190"}],"title":"Wieso 3/4 von 12, und wo ist der Kreis? Brüche für Teile von Mengen handlungs- und strukturorientiert erarbeiten. ","status":"public","year":"2013","intvolume":"        55","date_updated":"2024-04-18T09:08:20Z"},{"place":"Münster","date_created":"2023-10-24T06:34:07Z","department":[{"_id":"643"}],"type":"book_chapter","citation":{"mla":"Wessel, Lena. “Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende.” <i>Beiträge zum Mathematikunterricht 2013</i>, edited by G. Greefrath et al., WTM-Verlag, 2013, pp. 1082–85.","ama":"Wessel L. Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende. In: Greefrath G, Käpnick F, Stein M, eds. <i>Beiträge zum Mathematikunterricht 2013</i>. WTM-Verlag; 2013:1082-1085.","bibtex":"@inbook{Wessel_2013, place={Münster}, title={Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende}, booktitle={Beiträge zum Mathematikunterricht 2013}, publisher={WTM-Verlag}, author={Wessel, Lena}, editor={Greefrath, G. and Käpnick, F. and Stein, M.}, year={2013}, pages={1082–1085} }","apa":"Wessel, L. (2013). Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende. In G. Greefrath, F. Käpnick, &#38; M. Stein (Eds.), <i>Beiträge zum Mathematikunterricht 2013</i> (pp. 1082–1085). WTM-Verlag.","ieee":"L. Wessel, “Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende,” in <i>Beiträge zum Mathematikunterricht 2013</i>, G. Greefrath, F. Käpnick, and M. Stein, Eds. Münster: WTM-Verlag, 2013, pp. 1082–1085.","chicago":"Wessel, Lena. “Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende.” In <i>Beiträge zum Mathematikunterricht 2013</i>, edited by G. Greefrath, F. Käpnick, and M. Stein, 1082–85. Münster: WTM-Verlag, 2013.","short":"L. Wessel, in: G. Greefrath, F. Käpnick, M. Stein (Eds.), Beiträge zum Mathematikunterricht 2013, WTM-Verlag, Münster, 2013, pp. 1082–1085."},"publication":"Beiträge zum Mathematikunterricht 2013","_id":"48395","publisher":"WTM-Verlag","language":[{"iso":"ger"}],"page":"1082-1085","main_file_link":[{"url":"https://eldorado.tu-dortmund.de/bitstream/2003/33663/3/BzMU2013_BAND1.pdf#page=337"}],"editor":[{"last_name":"Greefrath","first_name":"G.","full_name":"Greefrath, G."},{"last_name":"Käpnick","first_name":"F.","full_name":"Käpnick, F."},{"first_name":"M.","last_name":"Stein","full_name":"Stein, M."}],"user_id":"37888","author":[{"last_name":"Wessel","first_name":"Lena","full_name":"Wessel, Lena","id":"85190"}],"title":"Sprache und Vorstellungen parallel entwickeln – Wirkungen einer fach- und sprachintegrierten Förderung für sprachlich schwache Lernende","year":"2013","status":"public","date_updated":"2024-04-18T09:17:02Z"},{"user_id":"220","main_file_link":[{"url":"https://link.springer.com/book/10.1007/978-3-642-37550-7"}],"publisher":"Springer Spektrum","_id":"51490","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2024-08-08T07:38:30Z","year":"2013","title":"Arbeitsbuch Mathematik für das erste Studienjahr","status":"public","author":[{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"}],"type":"book","department":[{"_id":"91"}],"date_created":"2024-02-19T10:17:34Z","citation":{"ieee":"J. Hilgert, <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013.","apa":"Hilgert, J. (2013). <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer Spektrum.","short":"J. Hilgert, Arbeitsbuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.","chicago":"Hilgert, Joachim. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013.","mla":"Hilgert, Joachim. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013.","bibtex":"@book{Hilgert_2013, title={Arbeitsbuch Mathematik für das erste Studienjahr}, publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }","ama":"Hilgert J. <i>Arbeitsbuch Mathematik für das erste Studienjahr</i>. Springer Spektrum; 2013."}},{"citation":{"mla":"Hilgert, Joachim. <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013.","bibtex":"@book{Hilgert_2013, title={Lesebuch Mathematik für das erste Studienjahr}, publisher={Springer Spektrum}, author={Hilgert, Joachim}, year={2013} }","ama":"Hilgert J. <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum; 2013.","ieee":"J. Hilgert, <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013.","apa":"Hilgert, J. (2013). <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum.","short":"J. Hilgert, Lesebuch Mathematik für das erste Studienjahr, Springer Spektrum, 2013.","chicago":"Hilgert, Joachim. <i>Lesebuch Mathematik für das erste Studienjahr</i>. Springer Spektrum, 2013."},"department":[{"_id":"91"}],"type":"book","date_created":"2024-02-19T10:18:22Z","date_updated":"2024-08-08T07:50:43Z","publication_status":"published","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"}],"status":"public","year":"2013","title":"Lesebuch Mathematik für das erste Studienjahr","user_id":"220","language":[{"iso":"ger"}],"_id":"51491","publisher":"Springer Spektrum","main_file_link":[{"url":"https://link.springer.com/book/10.1007/978-3-642-34755-9"}]},{"article_number":"164102","language":[{"iso":"eng"}],"doi":"10.1103/physrevlett.110.164102","year":"2013","title":"Experimental Observation of the Spectral Gap in Microwave n-Disk Systems","author":[{"last_name":"Barkhofen","first_name":"Sonja","full_name":"Barkhofen, Sonja","id":"48188"},{"first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"},{"full_name":"Potzuweit, A.","last_name":"Potzuweit","first_name":"A."},{"first_name":"H.-J.","last_name":"Stöckmann","full_name":"Stöckmann, H.-J."},{"first_name":"U.","last_name":"Kuhl","full_name":"Kuhl, U."},{"full_name":"Zworski, M.","last_name":"Zworski","first_name":"M."}],"publication_identifier":{"issn":["0031-9007","1079-7114"]},"publication_status":"published","date_updated":"2023-01-19T08:49:01Z","intvolume":"       110","date_created":"2022-05-17T13:00:47Z","keyword":["General Physics and Astronomy"],"type":"journal_article","department":[{"_id":"10"},{"_id":"548"},{"_id":"288"}],"publication":"Physical Review Letters","issue":"16","publisher":"American Physical Society (APS)","_id":"31298","user_id":"48188","volume":110,"status":"public","external_id":{"arxiv":["1212.5897 "]},"citation":{"mla":"Barkhofen, Sonja, et al. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i>, vol. 110, no. 16, 164102, American Physical Society (APS), 2013, doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","apa":"Barkhofen, S., Weich, T., Potzuweit, A., Stöckmann, H.-J., Kuhl, U., &#38; Zworski, M. (2013). Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>, <i>110</i>(16), Article 164102. <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>","ieee":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski, “Experimental Observation of the Spectral Gap in Microwave n-Disk Systems,” <i>Physical Review Letters</i>, vol. 110, no. 16, Art. no. 164102, 2013, doi: <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>.","short":"S. Barkhofen, T. Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, M. Zworski, Physical Review Letters 110 (2013).","ama":"Barkhofen S, Weich T, Potzuweit A, Stöckmann H-J, Kuhl U, Zworski M. Experimental Observation of the Spectral Gap in Microwave n-Disk Systems. <i>Physical Review Letters</i>. 2013;110(16). doi:<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>","chicago":"Barkhofen, Sonja, Tobias Weich, A. Potzuweit, H.-J. Stöckmann, U. Kuhl, and M. Zworski. “Experimental Observation of the Spectral Gap in Microwave N-Disk Systems.” <i>Physical Review Letters</i> 110, no. 16 (2013). <a href=\"https://doi.org/10.1103/physrevlett.110.164102\">https://doi.org/10.1103/physrevlett.110.164102</a>.","bibtex":"@article{Barkhofen_Weich_Potzuweit_Stöckmann_Kuhl_Zworski_2013, title={Experimental Observation of the Spectral Gap in Microwave n-Disk Systems}, volume={110}, DOI={<a href=\"https://doi.org/10.1103/physrevlett.110.164102\">10.1103/physrevlett.110.164102</a>}, number={16164102}, journal={Physical Review Letters}, publisher={American Physical Society (APS)}, author={Barkhofen, Sonja and Weich, Tobias and Potzuweit, A. and Stöckmann, H.-J. and Kuhl, U. and Zworski, M.}, year={2013} }"}},{"year":"2013","title":"Limit transition between hypergeometric functions of type BC and type A","publication_identifier":{"issn":["0010-437X","1570-5846"]},"author":[{"id":"37390","full_name":"Rösler, Margit","last_name":"Rösler","first_name":"Margit"},{"full_name":"Koornwinder, Tom","first_name":"Tom","last_name":"Koornwinder"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"date_updated":"2023-01-24T22:15:13Z","publication_status":"published","intvolume":"       149","language":[{"iso":"eng"}],"doi":"10.1112/s0010437x13007045","issue":"8","publication":"Compositio Mathematica","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Let <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline1\" /><jats:tex-math>${F}_{BC} (\\lambda , k; t)$</jats:tex-math></jats:alternatives></jats:inline-formula> be the Heckman–Opdam hypergeometric function of type BC with multiplicities <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline2\" /><jats:tex-math>$k= ({k}_{1} , {k}_{2} , {k}_{3} )$</jats:tex-math></jats:alternatives></jats:inline-formula> and weighted half-sum <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline3\" /><jats:tex-math>$\\rho (k)$</jats:tex-math></jats:alternatives></jats:inline-formula> of positive roots. We prove that <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline4\" /><jats:tex-math>${F}_{BC} (\\lambda + \\rho (k), k; t)$</jats:tex-math></jats:alternatives></jats:inline-formula> converges as <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline5\" /><jats:tex-math>${k}_{1} + {k}_{2} \\rightarrow \\infty $</jats:tex-math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline6\" /><jats:tex-math>${k}_{1} / {k}_{2} \\rightarrow \\infty $</jats:tex-math></jats:alternatives></jats:inline-formula> to a function of type A for <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline7\" /><jats:tex-math>$t\\in { \\mathbb{R} }^{n} $</jats:tex-math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline8\" /><jats:tex-math>$\\lambda \\in { \\mathbb{C} }^{n} $</jats:tex-math></jats:alternatives></jats:inline-formula>. This limit is obtained from a corresponding result for Jacobi polynomials of type BC, which is proven for a slightly more general limit behavior of the multiplicities, using an explicit representation of Jacobi polynomials in terms of Jack polynomials. Our limits include limit transitions for the spherical functions of non-compact Grassmann manifolds over one of the fields <jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"gif\" xlink:type=\"simple\" xlink:href=\"S0010437X13007045_inline9\" /><jats:tex-math>$ \\mathbb{F} = \\mathbb{R} , \\mathbb{C} , \\mathbb{H} $</jats:tex-math></jats:alternatives></jats:inline-formula> when the rank is fixed and the dimension tends to infinity. The limit functions turn out to be exactly the spherical functions of the corresponding infinite-dimensional Grassmann manifold in the sense of Olshanski.</jats:p>"}],"date_created":"2023-01-20T09:37:16Z","keyword":["Algebra and Number Theory"],"type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"1381-1400","publisher":"Wiley","_id":"37672","user_id":"93826","volume":149,"citation":{"mla":"Rösler, Margit, et al. “Limit Transition between Hypergeometric Functions of Type BC and Type A.” <i>Compositio Mathematica</i>, vol. 149, no. 8, Wiley, 2013, pp. 1381–400, doi:<a href=\"https://doi.org/10.1112/s0010437x13007045\">10.1112/s0010437x13007045</a>.","bibtex":"@article{Rösler_Koornwinder_Voit_2013, title={Limit transition between hypergeometric functions of type BC and type A}, volume={149}, DOI={<a href=\"https://doi.org/10.1112/s0010437x13007045\">10.1112/s0010437x13007045</a>}, number={8}, journal={Compositio Mathematica}, publisher={Wiley}, author={Rösler, Margit and Koornwinder, Tom and Voit, Michael}, year={2013}, pages={1381–1400} }","ama":"Rösler M, Koornwinder T, Voit M. Limit transition between hypergeometric functions of type BC and type A. <i>Compositio Mathematica</i>. 2013;149(8):1381-1400. doi:<a href=\"https://doi.org/10.1112/s0010437x13007045\">10.1112/s0010437x13007045</a>","ieee":"M. Rösler, T. Koornwinder, and M. Voit, “Limit transition between hypergeometric functions of type BC and type A,” <i>Compositio Mathematica</i>, vol. 149, no. 8, pp. 1381–1400, 2013, doi: <a href=\"https://doi.org/10.1112/s0010437x13007045\">10.1112/s0010437x13007045</a>.","apa":"Rösler, M., Koornwinder, T., &#38; Voit, M. (2013). Limit transition between hypergeometric functions of type BC and type A. <i>Compositio Mathematica</i>, <i>149</i>(8), 1381–1400. <a href=\"https://doi.org/10.1112/s0010437x13007045\">https://doi.org/10.1112/s0010437x13007045</a>","chicago":"Rösler, Margit, Tom Koornwinder, and Michael Voit. “Limit Transition between Hypergeometric Functions of Type BC and Type A.” <i>Compositio Mathematica</i> 149, no. 8 (2013): 1381–1400. <a href=\"https://doi.org/10.1112/s0010437x13007045\">https://doi.org/10.1112/s0010437x13007045</a>.","short":"M. Rösler, T. Koornwinder, M. Voit, Compositio Mathematica 149 (2013) 1381–1400."}},{"date_created":"2023-01-23T08:26:17Z","type":"journal_article","department":[{"_id":"555"}],"issue":"4","publication":"Journal of Lie Theory 23","citation":{"apa":"Rösler, M., &#38; Voit, M. (2013). Olshanski spherical functions for infinite dimensional motion groups of fixed rank. <i>Journal of Lie Theory 23</i>, <i>4</i>, 899--920. <a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">https://doi.org/10.48550/ARXIV.1210.1351</a>","ieee":"M. Rösler and M. Voit, “Olshanski spherical functions for infinite dimensional motion groups of fixed rank,” <i>Journal of Lie Theory 23</i>, no. 4, pp. 899--920, 2013, doi: <a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">10.48550/ARXIV.1210.1351</a>.","chicago":"Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no. 4 (2013): 899--920. <a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">https://doi.org/10.48550/ARXIV.1210.1351</a>.","short":"M. Rösler, M. Voit, Journal of Lie Theory 23 (2013) 899--920.","mla":"Rösler, Margit, and Michael Voit. “Olshanski Spherical Functions for Infinite Dimensional Motion Groups of Fixed Rank.” <i>Journal of Lie Theory 23</i>, no. 4, Heldermann , 2013, pp. 899--920, doi:<a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">10.48550/ARXIV.1210.1351</a>.","ama":"Rösler M, Voit M. Olshanski spherical functions for infinite dimensional motion groups of fixed rank. <i>Journal of Lie Theory 23</i>. 2013;(4):899--920. doi:<a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">10.48550/ARXIV.1210.1351</a>","bibtex":"@article{Rösler_Voit_2013, title={Olshanski spherical functions for infinite dimensional motion groups of fixed rank}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.1210.1351\">10.48550/ARXIV.1210.1351</a>}, number={4}, journal={Journal of Lie Theory 23}, publisher={Heldermann }, author={Rösler, Margit and Voit, Michael}, year={2013}, pages={899--920} }"},"page":"899--920","publisher":"Heldermann ","_id":"38038","language":[{"iso":"eng"}],"user_id":"93826","doi":"10.48550/ARXIV.1210.1351","status":"public","year":"2013","title":"Olshanski spherical functions for infinite dimensional motion groups of fixed rank","author":[{"full_name":"Rösler, Margit","first_name":"Margit","last_name":"Rösler","id":"37390"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"publication_status":"published","date_updated":"2023-01-24T22:15:26Z"},{"citation":{"mla":"Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane.” <i>Potential Analysis</i>, vol. 39, no. 1, Springer Science and Business Media LLC, 2013, pp. 29–67, doi:<a href=\"https://doi.org/10.1007/s11118-012-9321-x\">10.1007/s11118-012-9321-x</a>.","bibtex":"@article{Luks_2013, title={Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane}, volume={39}, DOI={<a href=\"https://doi.org/10.1007/s11118-012-9321-x\">10.1007/s11118-012-9321-x</a>}, number={1}, journal={Potential Analysis}, publisher={Springer Science and Business Media LLC}, author={Luks, Tomasz}, year={2013}, pages={29–67} }","ama":"Luks T. Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. <i>Potential Analysis</i>. 2013;39(1):29-67. doi:<a href=\"https://doi.org/10.1007/s11118-012-9321-x\">10.1007/s11118-012-9321-x</a>","ieee":"T. Luks, “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane,” <i>Potential Analysis</i>, vol. 39, no. 1, pp. 29–67, 2013, doi: <a href=\"https://doi.org/10.1007/s11118-012-9321-x\">10.1007/s11118-012-9321-x</a>.","apa":"Luks, T. (2013). Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane. <i>Potential Analysis</i>, <i>39</i>(1), 29–67. <a href=\"https://doi.org/10.1007/s11118-012-9321-x\">https://doi.org/10.1007/s11118-012-9321-x</a>","chicago":"Luks, Tomasz. “Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane.” <i>Potential Analysis</i> 39, no. 1 (2013): 29–67. <a href=\"https://doi.org/10.1007/s11118-012-9321-x\">https://doi.org/10.1007/s11118-012-9321-x</a>.","short":"T. Luks, Potential Analysis 39 (2013) 29–67."},"status":"public","user_id":"58312","volume":39,"page":"29-67","publisher":"Springer Science and Business Media LLC","_id":"40072","extern":"1","issue":"1","publication":"Potential Analysis","type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-25T15:50:45Z","date_updated":"2023-01-26T17:29:16Z","publication_status":"published","intvolume":"        39","year":"2013","title":"Boundary Behavior of α-Harmonic Functions on the Complement of the Sphere and Hyperplane","author":[{"full_name":"Luks, Tomasz","last_name":"Luks","first_name":"Tomasz","id":"58312"}],"publication_identifier":{"issn":["0926-2601","1572-929X"]},"doi":"10.1007/s11118-012-9321-x","language":[{"iso":"eng"}]},{"publication_identifier":{"issn":["1385-1292","1572-9281"]},"author":[{"last_name":"Graczyk","first_name":"Piotr","full_name":"Graczyk, Piotr"},{"full_name":"Jakubowski, Tomasz","first_name":"Tomasz","last_name":"Jakubowski"},{"id":"58312","first_name":"Tomasz","last_name":"Luks","full_name":"Luks, Tomasz"}],"title":"Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation","year":"2013","intvolume":"        17","date_updated":"2023-01-26T17:21:01Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s11117-012-0220-6","issue":"4","publication":"Positivity","extern":"1","date_created":"2023-01-25T15:49:25Z","department":[{"_id":"555"}],"type":"journal_article","status":"public","publisher":"Springer Science and Business Media LLC","_id":"40070","page":"1043-1070","volume":17,"user_id":"58312","citation":{"chicago":"Graczyk, Piotr, Tomasz Jakubowski, and Tomasz Luks. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” <i>Positivity</i> 17, no. 4 (2013): 1043–70. <a href=\"https://doi.org/10.1007/s11117-012-0220-6\">https://doi.org/10.1007/s11117-012-0220-6</a>.","short":"P. Graczyk, T. Jakubowski, T. Luks, Positivity 17 (2013) 1043–1070.","apa":"Graczyk, P., Jakubowski, T., &#38; Luks, T. (2013). Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. <i>Positivity</i>, <i>17</i>(4), 1043–1070. <a href=\"https://doi.org/10.1007/s11117-012-0220-6\">https://doi.org/10.1007/s11117-012-0220-6</a>","ieee":"P. Graczyk, T. Jakubowski, and T. Luks, “Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation,” <i>Positivity</i>, vol. 17, no. 4, pp. 1043–1070, 2013, doi: <a href=\"https://doi.org/10.1007/s11117-012-0220-6\">10.1007/s11117-012-0220-6</a>.","ama":"Graczyk P, Jakubowski T, Luks T. Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation. <i>Positivity</i>. 2013;17(4):1043-1070. doi:<a href=\"https://doi.org/10.1007/s11117-012-0220-6\">10.1007/s11117-012-0220-6</a>","bibtex":"@article{Graczyk_Jakubowski_Luks_2013, title={Martin representation and Relative Fatou Theorem for fractional Laplacian with a gradient perturbation}, volume={17}, DOI={<a href=\"https://doi.org/10.1007/s11117-012-0220-6\">10.1007/s11117-012-0220-6</a>}, number={4}, journal={Positivity}, publisher={Springer Science and Business Media LLC}, author={Graczyk, Piotr and Jakubowski, Tomasz and Luks, Tomasz}, year={2013}, pages={1043–1070} }","mla":"Graczyk, Piotr, et al. “Martin Representation and Relative Fatou Theorem for Fractional Laplacian with a Gradient Perturbation.” <i>Positivity</i>, vol. 17, no. 4, Springer Science and Business Media LLC, 2013, pp. 1043–70, doi:<a href=\"https://doi.org/10.1007/s11117-012-0220-6\">10.1007/s11117-012-0220-6</a>."}},{"publication_status":"published","date_updated":"2023-04-04T09:17:32Z","status":"public","title":"On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves","year":"2013","publication_identifier":{"isbn":["9783110298116"]},"author":[{"last_name":"Kirschmer","first_name":"Markus","full_name":"Kirschmer, Markus","id":"82258"},{"last_name":"Mertens","first_name":"Michael H.","full_name":"Mertens, Michael H."}],"user_id":"93826","doi":"10.1515/9783110298161.212","_id":"42805","publisher":"DE GRUYTER","language":[{"iso":"eng"}],"extern":"1","abstract":[{"text":"Following an idea of B. H. Gross, who presented an elliptic curve test for Mersenneprimes Mₚ=2ᵖ−1, we propose a similar test with elliptic curves for generalizedThabit primesK(h, n) := h·2ⁿ−1 for any positive odd number h and any integer n> log₂(h)+2.","lang":"eng"}],"publication":"Integers","citation":{"chicago":"Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” In <i>Integers</i>. DE GRUYTER, 2013. <a href=\"https://doi.org/10.1515/9783110298161.212\">https://doi.org/10.1515/9783110298161.212</a>.","short":"M. Kirschmer, M.H. Mertens, in: Integers, DE GRUYTER, 2013.","apa":"Kirschmer, M., &#38; Mertens, M. H. (2013). On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In <i>Integers</i>. DE GRUYTER. <a href=\"https://doi.org/10.1515/9783110298161.212\">https://doi.org/10.1515/9783110298161.212</a>","ieee":"M. Kirschmer and M. H. Mertens, “On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves,” in <i>Integers</i>, DE GRUYTER, 2013.","ama":"Kirschmer M, Mertens MH. On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves. In: <i>Integers</i>. DE GRUYTER; 2013. doi:<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>","bibtex":"@inbook{Kirschmer_Mertens_2013, title={On an analogue to the Lucas-Lehmer-Riesel test using elliptic curves}, DOI={<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>}, booktitle={Integers}, publisher={DE GRUYTER}, author={Kirschmer, Markus and Mertens, Michael H.}, year={2013} }","mla":"Kirschmer, Markus, and Michael H. Mertens. “On an Analogue to the Lucas-Lehmer-Riesel Test Using Elliptic Curves.” <i>Integers</i>, DE GRUYTER, 2013, doi:<a href=\"https://doi.org/10.1515/9783110298161.212\">10.1515/9783110298161.212</a>."},"type":"book_chapter","department":[{"_id":"102"}],"date_created":"2023-03-07T08:51:46Z"},{"year":"2013","title":"Single-class genera of positive integral lattices","author":[{"first_name":"David","last_name":"Lorch","full_name":"Lorch, David"},{"full_name":"Kirschmer, Markus","last_name":"Kirschmer","first_name":"Markus","id":"82258"}],"publication_identifier":{"issn":["1461-1570"]},"date_updated":"2023-04-04T07:57:04Z","publication_status":"published","intvolume":"        16","language":[{"iso":"eng"}],"doi":"10.1112/s1461157013000107","publication":"LMS Journal of Computation and Mathematics","abstract":[{"lang":"eng","text":"We give an enumeration of all positive definite primitive Z-lattices in dimension n ≥ 3 whose genus consists of a single isometry class. This is achieved by using bounds obtained from the Smith–Minkowski–Siegel mass formula to computationally construct the square-free determinant lattices with this property, and then repeatedly calculating pre-images under a mapping first introduced by G. L. Watson.\r\n\r\nWe hereby complete the classification of single-class genera in dimensions 4 and 5 and correct some mistakes in Watson’s classifications in other dimensions. A list of all single-class primitive Z-lattices has been compiled and incorporated into the Catalogue of Lattices."}],"extern":"1","date_created":"2023-03-07T08:34:28Z","keyword":["Computational Theory and Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"102"}],"status":"public","page":"172-186","_id":"42796","publisher":"Wiley","user_id":"93826","volume":16,"citation":{"short":"D. Lorch, M. Kirschmer, LMS Journal of Computation and Mathematics 16 (2013) 172–186.","chicago":"Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral Lattices.” <i>LMS Journal of Computation and Mathematics</i> 16 (2013): 172–86. <a href=\"https://doi.org/10.1112/s1461157013000107\">https://doi.org/10.1112/s1461157013000107</a>.","ieee":"D. Lorch and M. Kirschmer, “Single-class genera of positive integral lattices,” <i>LMS Journal of Computation and Mathematics</i>, vol. 16, pp. 172–186, 2013, doi: <a href=\"https://doi.org/10.1112/s1461157013000107\">10.1112/s1461157013000107</a>.","apa":"Lorch, D., &#38; Kirschmer, M. (2013). Single-class genera of positive integral lattices. <i>LMS Journal of Computation and Mathematics</i>, <i>16</i>, 172–186. <a href=\"https://doi.org/10.1112/s1461157013000107\">https://doi.org/10.1112/s1461157013000107</a>","bibtex":"@article{Lorch_Kirschmer_2013, title={Single-class genera of positive integral lattices}, volume={16}, DOI={<a href=\"https://doi.org/10.1112/s1461157013000107\">10.1112/s1461157013000107</a>}, journal={LMS Journal of Computation and Mathematics}, publisher={Wiley}, author={Lorch, David and Kirschmer, Markus}, year={2013}, pages={172–186} }","ama":"Lorch D, Kirschmer M. Single-class genera of positive integral lattices. <i>LMS Journal of Computation and Mathematics</i>. 2013;16:172-186. doi:<a href=\"https://doi.org/10.1112/s1461157013000107\">10.1112/s1461157013000107</a>","mla":"Lorch, David, and Markus Kirschmer. “Single-Class Genera of Positive Integral Lattices.” <i>LMS Journal of Computation and Mathematics</i>, vol. 16, Wiley, 2013, pp. 172–86, doi:<a href=\"https://doi.org/10.1112/s1461157013000107\">10.1112/s1461157013000107</a>."}},{"publication":"Journal für Reine und Angew. Mathematik","citation":{"ama":"Burban I, Schiffmann  O. Composition algebra of a weighted projective line. <i>Journal für Reine und Angew Mathematik</i>. 2013;679:75–124.","bibtex":"@article{Burban_Schiffmann_2013, title={Composition algebra of a weighted projective line}, volume={679}, journal={Journal für Reine und Angew. Mathematik}, author={Burban, Igor and Schiffmann,  O.}, year={2013}, pages={75–124} }","mla":"Burban, Igor, and  O. Schiffmann. “Composition Algebra of a Weighted Projective Line.” <i>Journal Für Reine Und Angew. Mathematik</i>, vol. 679, 2013, pp. 75–124.","short":"I. Burban,  O. Schiffmann, Journal Für Reine Und Angew. Mathematik 679 (2013) 75–124.","chicago":"Burban, Igor, and  O. Schiffmann. “Composition Algebra of a Weighted Projective Line.” <i>Journal Für Reine Und Angew. Mathematik</i> 679 (2013): 75–124.","apa":"Burban, I., &#38; Schiffmann,  O. (2013). Composition algebra of a weighted projective line. <i>Journal Für Reine Und Angew. Mathematik</i>, <i>679</i>, 75–124.","ieee":"I. Burban and  O. Schiffmann, “Composition algebra of a weighted projective line,” <i>Journal für Reine und Angew. Mathematik</i>, vol. 679, pp. 75–124, 2013."},"extern":"1","date_created":"2023-05-03T00:26:42Z","type":"journal_article","department":[{"_id":"602"}],"year":"2013","status":"public","title":"Composition algebra of a weighted projective line","author":[{"full_name":"Burban, Igor","last_name":"Burban","first_name":"Igor","id":"72064"},{"full_name":"Schiffmann,  O.","last_name":"Schiffmann","first_name":" O."}],"publication_status":"published","date_updated":"2023-05-07T01:40:36Z","intvolume":"       679","page":"75–124","_id":"44342","language":[{"iso":"eng"}],"user_id":"49063","volume":679},{"type":"book_chapter","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T13:44:52Z","quality_controlled":"1","publication":"Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012","citation":{"ieee":"H. Glöckner, “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields,” in <i>Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012</i>, 2013.","mla":"Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” <i>Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012</i>, 2013.","apa":"Glöckner, H. (2013). Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields. In <i>Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012</i>.","bibtex":"@inbook{Glöckner_2013, title={Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields}, booktitle={Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012}, author={Glöckner, Helge}, year={2013} }","ama":"Glöckner H. Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields. In: <i>Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012</i>. ; 2013.","short":"H. Glöckner, in: Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012, 2013.","chicago":"Glöckner, Helge. “Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields.” In <i>Advances in Ultrametric Analysis. 12th International Conference p-Adic Functional Analysis, University of Manitoba, Winnipeg, Canada, July 2-6, 2012</i>, 2013."},"user_id":"178","language":[{"iso":"eng"}],"_id":"64731","date_updated":"2026-02-26T13:45:11Z","year":"2013","status":"public","title":"Grobman-Hartman Theorems for Diffeomorphisms of Banach Spaces over Valued Fields","publication_identifier":{"eisbn":["978-1-4704-1024-7"]},"author":[{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"}]},{"user_id":"178","main_file_link":[{"url":"https://nbn-resolving.org/urn:nbn:de:hbz:466:2-11572","open_access":"1"}],"_id":"64748","language":[{"iso":"eng"}],"date_updated":"2026-02-26T20:20:22Z","status":"public","title":"Lie groups of mappings on non-compact spaces and manifolds","year":"2013","author":[{"last_name":"Alzaareer","first_name":"Hamza","full_name":"Alzaareer, Hamza"}],"type":"dissertation","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"oa":"1","date_created":"2026-02-26T20:20:01Z","citation":{"chicago":"Alzaareer, Hamza. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>, 2013.","short":"H. Alzaareer, Lie Groups of Mappings on Non-Compact Spaces and Manifolds, 2013.","apa":"Alzaareer, H. (2013). <i>Lie groups of mappings on non-compact spaces and manifolds</i>.","ieee":"H. Alzaareer, <i>Lie groups of mappings on non-compact spaces and manifolds</i>. 2013.","ama":"Alzaareer H. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>.; 2013.","bibtex":"@book{Alzaareer_2013, title={Lie groups of mappings on non-compact spaces and manifolds}, author={Alzaareer, Hamza}, year={2013} }","mla":"Alzaareer, Hamza. <i>Lie Groups of Mappings on Non-Compact Spaces and Manifolds</i>. 2013."},"supervisor":[{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"}]}]