[{"_id":"34667","publisher":"Elsevier BV","page":"129-153","volume":180,"user_id":"23686","status":"public","citation":{"apa":"Black, T. (2018). Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>, <i>180</i>, 129–153. <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">https://doi.org/10.1016/j.na.2018.10.003</a>","ieee":"T. Black, “Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions,” <i>Nonlinear Analysis</i>, vol. 180, pp. 129–153, 2018, doi: <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>.","short":"T. Black, Nonlinear Analysis 180 (2018) 129–153.","chicago":"Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i> 180 (2018): 129–53. <a href=\"https://doi.org/10.1016/j.na.2018.10.003\">https://doi.org/10.1016/j.na.2018.10.003</a>.","mla":"Black, Tobias. “Global Solvability of Chemotaxis–Fluid Systems with Nonlinear Diffusion and Matrix-Valued Sensitivities in Three Dimensions.” <i>Nonlinear Analysis</i>, vol. 180, Elsevier BV, 2018, pp. 129–53, doi:<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>.","ama":"Black T. Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. <i>Nonlinear Analysis</i>. 2018;180:129-153. doi:<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>","bibtex":"@article{Black_2018, title={Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions}, volume={180}, DOI={<a href=\"https://doi.org/10.1016/j.na.2018.10.003\">10.1016/j.na.2018.10.003</a>}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Black, Tobias}, year={2018}, pages={129–153} }"},"language":[{"iso":"eng"}],"doi":"10.1016/j.na.2018.10.003","author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","full_name":"Black, Tobias","id":"23686"}],"publication_identifier":{"issn":["0362-546X"]},"year":"2018","title":"Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions","intvolume":"       180","date_updated":"2022-12-21T10:05:04Z","publication_status":"published","date_created":"2022-12-21T09:47:30Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","keyword":["Applied Mathematics","Analysis"],"publication":"Nonlinear Analysis"},{"doi":"10.1007/s10440-018-0209-7","language":[{"iso":"eng"}],"intvolume":"       161","publication_status":"published","date_updated":"2022-01-21T10:01:41Z","author":[{"full_name":"Peitz, Sebastian","orcid":"https://orcid.org/0000-0002-3389-793X","first_name":"Sebastian","last_name":"Peitz","id":"47427"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"}],"publication_identifier":{"issn":["0167-8019","1572-9036"]},"title":"Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling","year":"2018","department":[{"_id":"101"}],"type":"journal_article","date_created":"2019-03-29T13:30:41Z","abstract":[{"lang":"eng","text":"In a wide range of applications it is desirable to optimally control a dynamical system with respect to concurrent, potentially competing goals. This gives rise to a multiobjective optimal control problem where, instead of computing a single optimal solution, the set of optimal compromises, the so-called Pareto set, has to be approximated. When the problem under consideration is described by a partial differential equation (PDE), as is the case for fluid flow, the computational cost rapidly increases and makes its direct treatment infeasible. Reduced order modeling is a very popular method to reduce the computational cost, in particular in a multi query context such as uncertainty quantification, parameter estimation or optimization. In this article, we show how to combine reduced order modeling and multiobjective optimal control techniques in order to efficiently solve multiobjective optimal control problems constrained by PDEs. We consider a global, derivative free optimization method as well as a local, gradient-based approach for which the optimality system is derived in two different ways. The methods are compared with regard to the solution quality as well as the computational effort and they are illustrated using the example of the flow around a cylinder and a backward-facing-step channel flow."}],"issue":"1","publication":"Acta Applicandae Mathematicae","volume":161,"user_id":"15694","_id":"8753","page":"171–199","status":"public","project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"citation":{"ieee":"S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” <i>Acta Applicandae Mathematicae</i>, vol. 161, no. 1, pp. 171–199, 2018, doi: <a href=\"https://doi.org/10.1007/s10440-018-0209-7\">10.1007/s10440-018-0209-7</a>.","apa":"Peitz, S., Ober-Blöbaum, S., &#38; Dellnitz, M. (2018). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. <i>Acta Applicandae Mathematicae</i>, <i>161</i>(1), 171–199. <a href=\"https://doi.org/10.1007/s10440-018-0209-7\">https://doi.org/10.1007/s10440-018-0209-7</a>","short":"S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2018) 171–199.","chicago":"Peitz, Sebastian, Sina Ober-Blöbaum, and Michael Dellnitz. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” <i>Acta Applicandae Mathematicae</i> 161, no. 1 (2018): 171–199. <a href=\"https://doi.org/10.1007/s10440-018-0209-7\">https://doi.org/10.1007/s10440-018-0209-7</a>.","mla":"Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” <i>Acta Applicandae Mathematicae</i>, vol. 161, no. 1, 2018, pp. 171–199, doi:<a href=\"https://doi.org/10.1007/s10440-018-0209-7\">10.1007/s10440-018-0209-7</a>.","bibtex":"@article{Peitz_Ober-Blöbaum_Dellnitz_2018, title={Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling}, volume={161}, DOI={<a href=\"https://doi.org/10.1007/s10440-018-0209-7\">10.1007/s10440-018-0209-7</a>}, number={1}, journal={Acta Applicandae Mathematicae}, author={Peitz, Sebastian and Ober-Blöbaum, Sina and Dellnitz, Michael}, year={2018}, pages={171–199} }","ama":"Peitz S, Ober-Blöbaum S, Dellnitz M. Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. <i>Acta Applicandae Mathematicae</i>. 2018;161(1):171–199. doi:<a href=\"https://doi.org/10.1007/s10440-018-0209-7\">10.1007/s10440-018-0209-7</a>"}},{"citation":{"short":"F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.","chicago":"Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.” In <i>6th European Conference on Computational Mechanics</i>, 2018.","ieee":"F. Jiménez and S. Ober-Blöbaum, “Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives,” 2018.","apa":"Jiménez, F., &#38; Ober-Blöbaum, S. (2018). Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives. <i>6th European Conference on Computational Mechanics</i>.","bibtex":"@inproceedings{Jiménez_Ober-Blöbaum_2018, title={Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives}, booktitle={6th European Conference on Computational Mechanics}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2018} }","ama":"Jiménez F, Ober-Blöbaum S. Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives. In: <i>6th European Conference on Computational Mechanics</i>. ; 2018.","mla":"Jiménez, F., and Sina Ober-Blöbaum. “Necessary Optimality Conditions for Optimally Controlled Dissipative Mechanical Systems Modelled through Fractional Derivatives.” <i>6th European Conference on Computational Mechanics</i>, 2018."},"publication":"6th European Conference on Computational Mechanics","department":[{"_id":"636"}],"type":"conference","date_created":"2022-01-18T14:49:40Z","date_updated":"2022-01-21T13:51:41Z","conference":{"start_date":"2018-06-11","end_date":"2018-06-15"},"author":[{"first_name":"F.","last_name":"Jiménez","full_name":"Jiménez, F."},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"}],"status":"public","year":"2018","title":"Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives","user_id":"15694","_id":"29425","language":[{"iso":"eng"}]},{"date_updated":"2022-01-21T13:53:24Z","title":"A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings","year":"2018","status":"public","corporate_editor":["IFAC-PapersOnLine"],"author":[{"full_name":"Jiménez, F.","last_name":"Jiménez","first_name":"F."},{"last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina","id":"16494"}],"user_id":"15694","volume":"51(3)","page":"50-55","_id":"29427","language":[{"iso":"eng"}],"publication":"6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018","citation":{"chicago":"Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” In <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, edited by IFAC-PapersOnLine, 51(3):50–55, 2018.","short":"F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.","ieee":"F. Jiménez and S. Ober-Blöbaum, “A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings,” in <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, 2018, vol. 51(3), pp. 50–55.","apa":"Jiménez, F., &#38; Ober-Blöbaum, S. (2018). A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings. In IFAC-PapersOnLine (Ed.), <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018: Vol. 51(3)</i> (pp. 50–55).","bibtex":"@inproceedings{Jiménez_Ober-Blöbaum_2018, title={A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings}, volume={51(3)}, booktitle={6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018}, author={Jiménez, F. and Ober-Blöbaum, Sina}, editor={IFAC-PapersOnLine}, year={2018}, pages={50–55} }","ama":"Jiménez F, Ober-Blöbaum S. A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings. In: IFAC-PapersOnLine, ed. <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>. Vol 51(3). ; 2018:50-55.","mla":"Jiménez, F., and Sina Ober-Blöbaum. “A Fractional Variational Approach for Modelling Dissipative Mechanical Systems Continuous and Discrete Settings.” <i>6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018</i>, edited by IFAC-PapersOnLine, vol. 51(3), 2018, pp. 50–55."},"type":"conference","department":[{"_id":"636"}],"date_created":"2022-01-18T14:55:51Z"},{"publication":"Beiträge zum Mathematikunterricht 2018","type":"conference","department":[{"_id":"97"}],"date_created":"2022-05-22T14:36:18Z","date_updated":"2022-05-22T14:38:42Z","publication_status":"published","year":"2018","title":"Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben","corporate_editor":["Fachgruppe Didaktik der Mathematik der Universität Paderborn"],"author":[{"id":"32202","full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann"}],"doi":"10.17877/DE290R-19412","main_file_link":[{"url":"https://eldorado.tu-dortmund.de/handle/2003/37417?locale=de","open_access":"1"}],"language":[{"iso":"ger"}],"citation":{"chicago":"Hoffmann, Max. “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben.” In <i>Beiträge zum Mathematikunterricht 2018</i>, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, 815–18. Münster: WTM-Verlag, 2018. <a href=\"https://doi.org/10.17877/DE290R-19412\">https://doi.org/10.17877/DE290R-19412</a>.","short":"M. Hoffmann, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht 2018, WTM-Verlag, Münster, 2018, pp. 815–818.","apa":"Hoffmann, M. (2018). Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben. In Fachgruppe Didaktik der Mathematik der Universität Paderborn (Ed.), <i>Beiträge zum Mathematikunterricht 2018</i> (pp. 815–818). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-19412\">https://doi.org/10.17877/DE290R-19412</a>","ieee":"M. Hoffmann, “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben,” in <i>Beiträge zum Mathematikunterricht 2018</i>, 2018, pp. 815–818, doi: <a href=\"https://doi.org/10.17877/DE290R-19412\">10.17877/DE290R-19412</a>.","ama":"Hoffmann M. Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben. In: Fachgruppe Didaktik der Mathematik der Universität Paderborn, ed. <i>Beiträge zum Mathematikunterricht 2018</i>. WTM-Verlag; 2018:815-818. doi:<a href=\"https://doi.org/10.17877/DE290R-19412\">10.17877/DE290R-19412</a>","bibtex":"@inproceedings{Hoffmann_2018, place={Münster}, title={Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben}, DOI={<a href=\"https://doi.org/10.17877/DE290R-19412\">10.17877/DE290R-19412</a>}, booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM-Verlag}, author={Hoffmann, Max}, editor={Fachgruppe Didaktik der Mathematik der Universität Paderborn}, year={2018}, pages={815–818} }","mla":"Hoffmann, Max. “Schnittstellenaufgaben im Praxiseinsatz: Aufgabenbeispiel zur „Bleistiftstetigkeit“ und allgemeine Überlegungen zu möglichen Problemen beim Einsatz solcher Aufgaben.” <i>Beiträge zum Mathematikunterricht 2018</i>, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM-Verlag, 2018, pp. 815–18, doi:<a href=\"https://doi.org/10.17877/DE290R-19412\">10.17877/DE290R-19412</a>."},"oa":"1","place":"Münster","status":"public","user_id":"32202","page":"815-818","_id":"31371","publisher":"WTM-Verlag"},{"publication":"Der Mathematikunterricht","citation":{"apa":"Grieser, D., Hoffmann, M., Koepf, W., &#38; Kramer, J. (2018). Anfängervorlesungen. <i>Der Mathematikunterricht</i>, <i>64 (5)</i>, 48–54.","ieee":"D. Grieser, M. Hoffmann, W. Koepf, and J. Kramer, “Anfängervorlesungen,” <i>Der Mathematikunterricht</i>, vol. 64 (5), pp. 48–54, 2018.","chicago":"Grieser, Daniel, Max Hoffmann, Wolfram Koepf, and Jürg Kramer. “Anfängervorlesungen.” <i>Der Mathematikunterricht</i> 64 (5) (2018): 48–54.","short":"D. Grieser, M. Hoffmann, W. Koepf, J. Kramer, Der Mathematikunterricht 64 (5) (2018) 48–54.","mla":"Grieser, Daniel, et al. “Anfängervorlesungen.” <i>Der Mathematikunterricht</i>, vol. 64 (5), 2018, pp. 48–54.","ama":"Grieser D, Hoffmann M, Koepf W, Kramer J. Anfängervorlesungen. <i>Der Mathematikunterricht</i>. 2018;64 (5):48–54.","bibtex":"@article{Grieser_Hoffmann_Koepf_Kramer_2018, title={Anfängervorlesungen}, volume={64 (5)}, journal={Der Mathematikunterricht}, author={Grieser, Daniel and Hoffmann, Max and Koepf, Wolfram and Kramer, Jürg}, year={2018}, pages={48–54} }"},"date_created":"2022-05-22T14:54:04Z","type":"journal_article","department":[{"_id":"97"}],"status":"public","title":"Anfängervorlesungen","year":"2018","author":[{"first_name":"Daniel","last_name":"Grieser","full_name":"Grieser, Daniel"},{"last_name":"Hoffmann","first_name":"Max","full_name":"Hoffmann, Max","id":"32202"},{"full_name":"Koepf, Wolfram","first_name":"Wolfram","last_name":"Koepf"},{"last_name":"Kramer","first_name":"Jürg","full_name":"Kramer, Jürg"}],"date_updated":"2022-05-22T14:57:14Z","publication_status":"published","page":"48–54","language":[{"iso":"ger"}],"_id":"31375","user_id":"32202","volume":"64 (5)"},{"page":"299–301","main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00591-018-0222-y"}],"language":[{"iso":"ger"}],"_id":"31382","doi":"10.1007/s00591-018-0222-y","user_id":"32202","volume":65,"status":"public","title":"Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen","year":"2018","author":[{"id":"32202","full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann"}],"date_updated":"2022-05-22T15:58:46Z","publication_status":"published","intvolume":"        65","date_created":"2022-05-22T15:15:33Z","type":"review","department":[{"_id":"97"}],"publication":"Mathematische Semesterberichte","citation":{"mla":"Hoffmann, Max. “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen.” <i>Mathematische Semesterberichte</i>, vol. 65, 2018, pp. 299–301, doi:<a href=\"https://doi.org/10.1007/s00591-018-0222-y\">10.1007/s00591-018-0222-y</a>.","bibtex":"@article{Hoffmann_2018, title={Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen}, volume={65}, DOI={<a href=\"https://doi.org/10.1007/s00591-018-0222-y\">10.1007/s00591-018-0222-y</a>}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2018}, pages={299–301} }","ama":"Hoffmann M. Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen. <i>Mathematische Semesterberichte</i>. 2018;65:299–301. doi:<a href=\"https://doi.org/10.1007/s00591-018-0222-y\">10.1007/s00591-018-0222-y</a>","ieee":"M. Hoffmann, “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen,” <i>Mathematische Semesterberichte</i>, vol. 65. pp. 299–301, 2018, doi: <a href=\"https://doi.org/10.1007/s00591-018-0222-y\">10.1007/s00591-018-0222-y</a>.","apa":"Hoffmann, M. (2018). Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen. In <i>Mathematische Semesterberichte</i> (Vol. 65, pp. 299–301). <a href=\"https://doi.org/10.1007/s00591-018-0222-y\">https://doi.org/10.1007/s00591-018-0222-y</a>","short":"M. Hoffmann, Mathematische Semesterberichte 65 (2018) 299–301.","chicago":"Hoffmann, Max. “Rezension: Dörte Haftendorn: Kurven erkunden und verstehen – Mit GeoGebra und anderen Werkzeugen.” <i>Mathematische Semesterberichte</i>, 2018. <a href=\"https://doi.org/10.1007/s00591-018-0222-y\">https://doi.org/10.1007/s00591-018-0222-y</a>."}},{"related_material":{"link":[{"url":"https://www.friedrich-verlag.de/shop/mathematik-in-schule-und-hochschule-524203","relation":"table_of_contents"}]},"citation":{"short":"G. Greefrath, M. Hoffmann, W. Koepf, eds., Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?, 2018.","chicago":"Greefrath, Gilbert, Max Hoffmann, and Wolfram Koepf, eds. <i>Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?</i>, 2018.","apa":"Greefrath, G., Hoffmann, M., &#38; Koepf, W. (Eds.). (2018). <i>Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?</i>","ieee":"G. Greefrath, M. Hoffmann, and W. Koepf, Eds., <i>Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?</i> 2018.","ama":"Greefrath G, Hoffmann M, Koepf W, eds. <i>Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?</i>; 2018.","bibtex":"@book{Greefrath_Hoffmann_Koepf_2018, title={Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?}, year={2018} }","mla":"Greefrath, Gilbert, et al., editors. <i>Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?</i> 2018."},"department":[{"_id":"97"}],"type":"book_editor","date_created":"2022-05-22T15:05:58Z","publication_status":"published","date_updated":"2022-05-22T16:00:16Z","title":"Der Mathematikunterricht 64 (5): Mathematik in Schule und Hochschule – wie groß ist die Lücke und wie gehen wir mit ihr um?","year":"2018","status":"public","editor":[{"full_name":"Greefrath, Gilbert","last_name":"Greefrath","first_name":"Gilbert"},{"id":"32202","first_name":"Max","last_name":"Hoffmann","full_name":"Hoffmann, Max"},{"first_name":"Wolfram","last_name":"Koepf","full_name":"Koepf, Wolfram"}],"user_id":"32202","_id":"31380","language":[{"iso":"ger"}]},{"page":"65–102","publisher":"Springer Science + Business Media","_id":"33335","language":[{"iso":"eng"}],"user_id":"85821","doi":"https://link.springer.com/article/10.1007/s10959-018-0850-0","volume":33,"title":"Persistence of one-dimensional AR(1)-processes","year":"2018","status":"public","author":[{"first_name":"Günter","last_name":"Hinrichs","full_name":"Hinrichs, Günter"},{"id":"48880","full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin"},{"full_name":"Wachtel, Vitali","last_name":"Wachtel","first_name":"Vitali"}],"publication_status":"published","date_updated":"2022-09-12T07:52:44Z","intvolume":"        33","date_created":"2022-09-12T07:50:38Z","type":"journal_article","department":[{"_id":"96"}],"publication":"Journal of Theoretical Probability","citation":{"ama":"Hinrichs G, Kolb M, Wachtel V. Persistence of one-dimensional AR(1)-processes. <i>Journal of Theoretical Probability</i>. 2018;33:65–102. doi:<a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>","bibtex":"@article{Hinrichs_Kolb_Wachtel_2018, title={Persistence of one-dimensional AR(1)-processes}, volume={33}, DOI={<a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>}, journal={Journal of Theoretical Probability}, publisher={Springer Science + Business Media}, author={Hinrichs, Günter and Kolb, Martin and Wachtel, Vitali}, year={2018}, pages={65–102} }","mla":"Hinrichs, Günter, et al. “Persistence of One-Dimensional AR(1)-Processes.” <i>Journal of Theoretical Probability</i>, vol. 33, Springer Science + Business Media, 2018, pp. 65–102, doi:<a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>.","short":"G. Hinrichs, M. Kolb, V. Wachtel, Journal of Theoretical Probability 33 (2018) 65–102.","chicago":"Hinrichs, Günter, Martin Kolb, and Vitali Wachtel. “Persistence of One-Dimensional AR(1)-Processes.” <i>Journal of Theoretical Probability</i> 33 (2018): 65–102. <a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>.","apa":"Hinrichs, G., Kolb, M., &#38; Wachtel, V. (2018). Persistence of one-dimensional AR(1)-processes. <i>Journal of Theoretical Probability</i>, <i>33</i>, 65–102. <a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>","ieee":"G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of one-dimensional AR(1)-processes,” <i>Journal of Theoretical Probability</i>, vol. 33, pp. 65–102, 2018, doi: <a href=\"https://link.springer.com/article/10.1007/s10959-018-0850-0\">https://link.springer.com/article/10.1007/s10959-018-0850-0</a>."},"abstract":[{"text":"For a class of one-dimensional autoregressive sequences (Xn), we consider the tail behaviour of the stopping time T0=min{n≥1:Xn≤0}. We discuss existing general analytical approaches to this and related problems and propose a new one, which is based on a renewal-type decomposition for the moment generating function of T0 and on the analytical Fredholm alternative. Using this method, we show that Px(T0=n)∼V(x)Rn0 for some 0<R0<1 and a positive R0-harmonic function V. Further, we prove that our conditions on the tail behaviour of the innovations are sharp in the sense that fatter tails produce non-exponential decay factors.","lang":"eng"}]},{"page":"469-472","language":[{"iso":"ger"}],"_id":"45392","publisher":"WTM","user_id":"85820","year":"2018","status":"public","title":"Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts","author":[{"id":"85820","full_name":"Dröse, Jennifer","last_name":"Dröse","first_name":"Jennifer"}],"corporate_editor":["Fachgruppe Didaktik der Mathematik der Universität Paderborn"],"date_updated":"2023-11-02T08:10:36Z","date_created":"2023-05-31T08:15:12Z","place":"Münster","type":"conference","department":[{"_id":"98"}],"publication":"Beiträge zum Mathematikunterricht 2018","citation":{"ama":"Dröse J. Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts. In: Fachgruppe Didaktik der Mathematik der Universität Paderborn, ed. <i>Beiträge zum Mathematikunterricht 2018</i>. WTM; 2018:469-472.","bibtex":"@inproceedings{Dröse_2018, place={Münster}, title={Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts}, booktitle={Beiträge zum Mathematikunterricht 2018}, publisher={WTM}, author={Dröse, Jennifer}, editor={Fachgruppe Didaktik der Mathematik der Universität Paderborn}, year={2018}, pages={469–472} }","mla":"Dröse, Jennifer. “Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts.” <i>Beiträge zum Mathematikunterricht 2018</i>, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM, 2018, pp. 469–72.","chicago":"Dröse, Jennifer. “Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts.” In <i>Beiträge zum Mathematikunterricht 2018</i>, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, 469–72. Münster: WTM, 2018.","short":"J. Dröse, in: Fachgruppe Didaktik der Mathematik der Universität Paderborn (Ed.), Beiträge zum Mathematikunterricht 2018, WTM, Münster, 2018, pp. 469–472.","apa":"Dröse, J. (2018). Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts. In Fachgruppe Didaktik der Mathematik der Universität Paderborn (Ed.), <i>Beiträge zum Mathematikunterricht 2018</i> (pp. 469–472). WTM.","ieee":"J. Dröse, “Textaufgaben strategisch und sprachlich bewältigen lernen – Pilotstudie zur Wirksamkeit eines Förderkonzepts,” in <i>Beiträge zum Mathematikunterricht 2018</i>, 2018, pp. 469–472."},"extern":"1"},{"type":"journal_article","department":[{"_id":"98"}],"date_created":"2023-05-31T08:19:02Z","extern":"1","publication":"Mathematik lehren 206","citation":{"mla":"Dröse, Jennifer, and Susanne Prediger. “Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen.” <i>Mathematik lehren 206</i>, 2018, pp. 8–12.","ama":"Dröse J, Prediger S. Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen. <i>Mathematik lehren 206</i>. Published online 2018:8-12.","bibtex":"@article{Dröse_Prediger_2018, title={Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen}, journal={Mathematik lehren 206}, author={Dröse, Jennifer and Prediger, Susanne}, year={2018}, pages={8–12} }","apa":"Dröse, J., &#38; Prediger, S. (2018). Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen. <i>Mathematik lehren 206</i>, 8–12.","ieee":"J. Dröse and S. Prediger, “Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen,” <i>Mathematik lehren 206</i>, pp. 8–12, 2018.","chicago":"Dröse, Jennifer, and Susanne Prediger. “Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen.” <i>Mathematik lehren 206</i>, 2018, 8–12.","short":"J. Dröse, S. Prediger, Mathematik lehren 206 (2018) 8–12."},"user_id":"85820","page":"8-12","_id":"45393","language":[{"iso":"ger"}],"date_updated":"2023-11-02T08:12:07Z","status":"public","year":"2018","title":"Strategien für Textaufgaben fördern – mit Info-Netzen und Formulierungsvariationen","author":[{"id":"85820","full_name":"Dröse, Jennifer","first_name":"Jennifer","last_name":"Dröse"},{"full_name":"Prediger, Susanne","first_name":"Susanne","last_name":"Prediger"}]},{"date_updated":"2024-02-19T06:21:04Z","publication_status":"published","author":[{"last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max","full_name":"Hoffmann, Max","id":"32202"}],"title":"Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.","status":"public","year":"2018","volume":" 18 - 06","user_id":"49063","language":[{"iso":"ger"}],"_id":"31374","series_title":"khdm-Report","main_file_link":[{"url":"http://nbn-resolving.de/urn:nbn:de:hebis:34-2017110153692","open_access":"1"}],"supervisor":[{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"},{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"}],"citation":{"short":"M. Hoffmann, Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis., 2018.","chicago":"Hoffmann, Max. <i>Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.</i> Vol. 18–06. khdm-Report, 2018.","ieee":"M. Hoffmann, <i>Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.</i>, vol. 18–06. 2018.","apa":"Hoffmann, M. (2018). <i>Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.</i> (Vols. 18–06).","bibtex":"@book{Hoffmann_2018, series={khdm-Report}, title={Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.}, volume={18–06}, author={Hoffmann, Max}, year={2018}, collection={khdm-Report} }","ama":"Hoffmann M. <i>Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.</i> Vol 18-06.; 2018.","mla":"Hoffmann, Max. <i>Konzeption von fachmathematischen Schnittstellenmodulen für Lehramtsstudierende am Beispiel ausgewählter Themen der höheren Analysis.</i> 2018."},"oa":"1","department":[{"_id":"97"}],"type":"mastersthesis","date_created":"2022-05-22T14:51:16Z"},{"date_created":"2024-02-19T06:39:42Z","type":"journal_article","department":[{"_id":"91"}],"publication":"Journal of the Institute of Mathematics of Jussieu","citation":{"bibtex":"@article{Hilgert_Wurzbacher_Alldridge_2018, title={Superorbits}, volume={17}, DOI={<a href=\"https://doi.org/10.1017/S147474801600030X\">10.1017/S147474801600030X</a>}, journal={Journal of the Institute of Mathematics of Jussieu}, author={Hilgert, Joachim and Wurzbacher, T. and Alldridge, A.}, year={2018}, pages={1065–1120} }","short":"J. Hilgert, T. Wurzbacher, A. Alldridge, Journal of the Institute of Mathematics of Jussieu 17 (2018) 1065–1120.","ama":"Hilgert J, Wurzbacher T, Alldridge A. Superorbits. <i>Journal of the Institute of Mathematics of Jussieu</i>. 2018;17:1065-1120. doi:<a href=\"https://doi.org/10.1017/S147474801600030X\">10.1017/S147474801600030X</a>","chicago":"Hilgert, Joachim, T. Wurzbacher, and A. Alldridge. “Superorbits.” <i>Journal of the Institute of Mathematics of Jussieu</i> 17 (2018): 1065–1120. <a href=\"https://doi.org/10.1017/S147474801600030X\">https://doi.org/10.1017/S147474801600030X</a>.","ieee":"J. Hilgert, T. Wurzbacher, and A. Alldridge, “Superorbits,” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 17, pp. 1065–1120, 2018, doi: <a href=\"https://doi.org/10.1017/S147474801600030X\">10.1017/S147474801600030X</a>.","mla":"Hilgert, Joachim, et al. “Superorbits.” <i>Journal of the Institute of Mathematics of Jussieu</i>, vol. 17, 2018, pp. 1065–120, doi:<a href=\"https://doi.org/10.1017/S147474801600030X\">10.1017/S147474801600030X</a>.","apa":"Hilgert, J., Wurzbacher, T., &#38; Alldridge, A. (2018). Superorbits. <i>Journal of the Institute of Mathematics of Jussieu</i>, <i>17</i>, 1065–1120. <a href=\"https://doi.org/10.1017/S147474801600030X\">https://doi.org/10.1017/S147474801600030X</a>"},"page":"1065-1120","main_file_link":[{"url":"https://doi.org/10.1017/S147474801600030X"}],"language":[{"iso":"eng"}],"_id":"51388","doi":"10.1017/S147474801600030X","user_id":"49063","volume":17,"year":"2018","status":"public","title":"Superorbits","author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim","id":"220"},{"full_name":"Wurzbacher, T.","last_name":"Wurzbacher","first_name":"T."},{"last_name":"Alldridge","first_name":"A.","full_name":"Alldridge, A."}],"date_updated":"2024-02-19T06:39:58Z","publication_status":"published","intvolume":"        17"},{"department":[{"_id":"91"}],"type":"book_chapter","date_created":"2024-02-19T08:03:35Z","place":"Berlin","citation":{"bibtex":"@inbook{Hilgert_2018, place={Berlin}, title={Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung}, booktitle={Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung}, publisher={Frank&#38;Timme}, author={Hilgert, Joachim}, editor={Nieland, T.}, year={2018} }","ama":"Hilgert J. Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung. In: Nieland T, ed. <i>Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung</i>. Frank&#38;Timme; 2018.","mla":"Hilgert, Joachim. “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung.” <i>Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung</i>, edited by T. Nieland, Frank&#38;Timme, 2018.","chicago":"Hilgert, Joachim. “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung.” In <i>Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung</i>, edited by T. Nieland. Berlin: Frank&#38;Timme, 2018.","short":"J. Hilgert, in: T. Nieland (Ed.), Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung, Frank&#38;Timme, Berlin, 2018.","ieee":"J. Hilgert, “Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung,” in <i>Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung</i>, T. Nieland, Ed. Berlin: Frank&#38;Timme, 2018.","apa":"Hilgert, J. (2018). Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung. In T. Nieland (Ed.), <i>Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung</i>. Frank&#38;Timme."},"publication":"Erscheinung und Vernunft - Wirklichkeitszugänge der Aufklärung","editor":[{"full_name":"Nieland, T.","last_name":"Nieland","first_name":"T."}],"user_id":"49063","_id":"51462","publisher":"Frank&Timme","language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2024-02-19T08:03:40Z","author":[{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"}],"year":"2018","status":"public","title":"Von Fermat und Descartes zu Gauß und Cauchy - Der Wandel der Mathematik in der Zeit der Aufklärung"},{"citation":{"apa":"Hilgert, J., Hansen, S., &#38; Parthasarathy, A. (2018). <i>Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces</i>.","ieee":"J. Hilgert, S. Hansen, and A. Parthasarathy, “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces.” 2018.","chicago":"Hilgert, Joachim, S. Hansen, and A. Parthasarathy. “Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces,” 2018.","short":"J. Hilgert, S. Hansen, A. Parthasarathy, (2018).","mla":"Hilgert, Joachim, et al. <i>Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces</i>. 2018.","ama":"Hilgert J, Hansen S, Parthasarathy A. Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces. Published online 2018.","bibtex":"@article{Hilgert_Hansen_Parthasarathy_2018, title={Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces}, author={Hilgert, Joachim and Hansen, S. and Parthasarathy, A.}, year={2018} }"},"date_created":"2024-02-20T08:22:15Z","type":"preprint","department":[{"_id":"91"}],"oa":"1","title":"Boundary Values of Eigenfunctions on Riemannian Symmetric Spaces","status":"public","year":"2018","author":[{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"},{"full_name":"Hansen, S.","first_name":"S.","last_name":"Hansen"},{"last_name":"Parthasarathy","first_name":"A.","full_name":"Parthasarathy, A."}],"publication_status":"published","date_updated":"2024-02-20T08:24:26Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/pdf/1807.07131"}],"_id":"51523","language":[{"iso":"eng"}],"user_id":"49063"},{"publication_status":"published","date_updated":"2024-02-20T10:14:53Z","intvolume":"        65","year":"2018","status":"public","title":"Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017)","author":[{"last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220"}],"user_id":"49063","volume":65,"page":"307-309","_id":"51571","language":[{"iso":"ger"}],"publication":"Mathematische Semesterberichte","citation":{"apa":"Hilgert, J. (2018). Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017). In <i>Mathematische Semesterberichte</i> (Vol. 65, pp. 307–309).","ieee":"J. Hilgert, “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017),” <i>Mathematische Semesterberichte</i>, vol. 65. pp. 307–309, 2018.","short":"J. Hilgert, Mathematische Semesterberichte 65 (2018) 307–309.","chicago":"Hilgert, Joachim. “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017).” <i>Mathematische Semesterberichte</i>, 2018.","mla":"Hilgert, Joachim. “Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017).” <i>Mathematische Semesterberichte</i>, vol. 65, 2018, pp. 307–09.","ama":"Hilgert J. Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017). <i>Mathematische Semesterberichte</i>. 2018;65:307-309.","bibtex":"@article{Hilgert_2018, title={Winfried Scharlau: Das Glück, Mathematiker zu sein – Friedrich Hirzebruch und seine Zeit (Springer Spektrum 2017)}, volume={65}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2018}, pages={307–309} }"},"type":"review","department":[{"_id":"91"}],"date_created":"2024-02-20T10:13:58Z"},{"volume":65,"user_id":"49063","language":[{"iso":"ger"}],"_id":"51572","page":"129-131","intvolume":"        65","publication_status":"published","date_updated":"2024-02-20T10:15:00Z","author":[{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"}],"status":"public","year":"2018","title":"Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017)","department":[{"_id":"91"}],"type":"review","date_created":"2024-02-20T10:14:32Z","citation":{"mla":"Hilgert, Joachim. “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017).” <i>Mathematische Semesterberichte</i>, vol. 65, 2018, pp. 129–31.","ama":"Hilgert J. Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017). <i>Mathematische Semesterberichte</i>. 2018;65:129-131.","bibtex":"@article{Hilgert_2018, title={Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017)}, volume={65}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2018}, pages={129–131} }","apa":"Hilgert, J. (2018). Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017). In <i>Mathematische Semesterberichte</i> (Vol. 65, pp. 129–131).","ieee":"J. Hilgert, “Lemmermeyer, F: Quadratische Zahlkörper – Eine Einführung mit vielen Beispielen (Springer Spektrum 2017),” <i>Mathematische Semesterberichte</i>, vol. 65. pp. 129–131, 2018.","short":"J. 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