Marc Philipp Technau

Computeralgebra und Zahlentheorie
technau@mail.uni-paderborn.de
ID
106108

18 Publications

Mark all

[18]
2024 | Journal Article | LibreCat-ID: 55276
@article{Minelli_Sourmelidis_Technau_2024, title={On restricted averages of Dedekind sums}, volume={2024}, DOI={10.1093/imrn/rnad283}, number={10}, journal={Int. Math. Res. Not. IMRN}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2024}, pages={8485–8502} }
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
@article{Technau_2024, title={Remark on the Farey fraction spin chain}, volume={152}, DOI={10.1090/proc/16520}, number={1}, journal={Proc. Amer. Math. Soc.}, author={Technau, Marc}, year={2024}, pages={63–69} }
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
@article{Klahn_Technau_2023, title={Galois groups of (n₀)+(n₁)X+…+(n₆)X6}, volume={19}, DOI={10.1142/S1793042123501208}, number={10}, journal={Int. J. Number Theory}, author={Klahn, B. and Technau, Marc}, year={2023}, pages={2443–2450} }
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
@article{Minelli_Sourmelidis_Technau_2023, title={Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}, volume={387}, DOI={10.1007/s00208-022-02452-2}, journal={Math. Ann.}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2023}, pages={291–320} }
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
@article{Elsholtz_Klahn_Technau_2022, title={On polynomials with roots modulo almost all primes}, volume={205:3}, DOI={10.4064/aa220407-9-7}, number={3}, journal={Acta Arith.}, author={Elsholtz, Ch. and Klahn, B. and Technau, Marc}, year={2022}, pages={251–263} }
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
@article{Baier_Mazumder_Technau_2021, title={On the distribution of αp modulo one in quadratic number fields}, volume={16}, DOI={10.2478/udt-2021-0006}, number={2}, journal={Unif. Distrib. Theory}, author={Baier, St. and Mazumder, D. and Technau, Marc}, year={2021}, pages={1–48} }
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
@article{Technau_Zafeiropoulos_2021, title={Metric results on summatory arithmetic functions on Beatty sets}, volume={197}, DOI={10.4064/aa200128-10-6}, number={1}, journal={Acta Arith.}, author={Technau, Marc and Zafeiropoulos, A.}, year={2021}, pages={93–104} }
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
@article{Baier_Technau_2020, title={On the distribution of αp modulo one in imaginary quadratic number fields with class number one}, volume={32}, DOI={10.5802/jtnb.1141}, number={2}, journal={J. Théor. Nombres Bordx.}, author={Baier, St. and Technau, Marc}, year={2020}, pages={719–760} }
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
@article{Technau_2020, title={Modular hyperbolas and Beatty sequences}, volume={208}, DOI={10.1016/j.jnt.2019.07.022}, journal={J. Number Theory}, author={Technau, Marc}, year={2020}, pages={148–167} }
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
@article{Shparlinski_Technau_2020, title={Kloosterman sums with twice-differentiable functions}, volume={63}, DOI={10.7169/facm/1845}, number={1}, journal={Funct. Approximatio, Comment. Math.}, author={Shparlinski, I. E. and Technau, Marc}, year={2020}, pages={113–124} }
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
@article{Barth_Beck_Dose_Glaßer_Michler_Technau_2020, title={Emptiness problems for integer circuits}, volume={824–825}, DOI={10.1016/j.tcs.2020.03.023}, journal={Theoretical Computer Science}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, year={2020}, pages={11–35} }
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
@article{Elsholtz_Technau_Technau_2019, title={The maximal order of iterated multiplicative functions}, volume={64}, DOI={10.1112/S0025579319000214}, number={4}, journal={Mathematika}, author={Elsholtz, Ch. and Technau, Marc and Technau, N.}, year={2019}, pages={990–1009} }
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
@article{Technau_2019, title={Generalised Beatty sets}, volume={25}, DOI={10.7546/nntdm.2019.25.2.127-135}, number={2}, journal={Notes Number Theory Discrete Math.}, author={Technau, Marc}, year={2019}, pages={127–135} }
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
@book{Technau_2018, place={Würzburg}, title={On Beatty sets and some generalisations thereof}, DOI={10.25972/WUP-978-3-95826-089-4}, publisher={University of Würzburg}, author={Technau, Marc}, year={2018} }
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
@book{Barth_Beck_Dose_Glaßer_Michler_Technau_2017, place={https://eccc.weizmann.ac.il/report/2017/012}, title={Emptiness problems for integer circuits}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, year={2017} }
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
@inproceedings{Barth_Beck_Dose_Glaßer_Michler_Technau_2017, series={Leibniz International Proceedings in Informatics (LIPIcs)}, title={Emptiness problems for integer circuits}, volume={83}, DOI={10.4230/LIPIcs.MFCS.2017.33}, booktitle={42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)}, publisher={Schloss Dagstuhl–Leibniz-Zentrum für Informatik}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, editor={Larsen, Kim G. and Bodlaender, Hans L. and Raskin, Jean-Francois}, year={2017}, pages={33:1–33:14}, collection={Leibniz International Proceedings in Informatics (LIPIcs)} }
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
@article{Technau_Technau_2017, title={A Loewner equation for infinitely many slits}, volume={17}, DOI={10.1007/s40315-016-0179-6}, number={2}, journal={Comput. Methods Funct. Theory}, author={Technau, Marc and Technau, N.}, year={2017}, pages={255–272} }
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
@article{Steuding_Technau_2016, title={The least prime number in a Beatty sequence}, volume={169}, DOI={10.1016/j.jnt.2016.05.022}, journal={J. Number Theory}, author={Steuding, J. and Technau, Marc}, year={2016}, pages={144–159} }
LibreCat | DOI
 
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18 Publications

Mark all

[18]
2024 | Journal Article | LibreCat-ID: 55276
@article{Minelli_Sourmelidis_Technau_2024, title={On restricted averages of Dedekind sums}, volume={2024}, DOI={10.1093/imrn/rnad283}, number={10}, journal={Int. Math. Res. Not. IMRN}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2024}, pages={8485–8502} }
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
@article{Technau_2024, title={Remark on the Farey fraction spin chain}, volume={152}, DOI={10.1090/proc/16520}, number={1}, journal={Proc. Amer. Math. Soc.}, author={Technau, Marc}, year={2024}, pages={63–69} }
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
@article{Klahn_Technau_2023, title={Galois groups of (n₀)+(n₁)X+…+(n₆)X6}, volume={19}, DOI={10.1142/S1793042123501208}, number={10}, journal={Int. J. Number Theory}, author={Klahn, B. and Technau, Marc}, year={2023}, pages={2443–2450} }
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
@article{Minelli_Sourmelidis_Technau_2023, title={Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}, volume={387}, DOI={10.1007/s00208-022-02452-2}, journal={Math. Ann.}, author={Minelli, P. and Sourmelidis, A. and Technau, Marc}, year={2023}, pages={291–320} }
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
@article{Elsholtz_Klahn_Technau_2022, title={On polynomials with roots modulo almost all primes}, volume={205:3}, DOI={10.4064/aa220407-9-7}, number={3}, journal={Acta Arith.}, author={Elsholtz, Ch. and Klahn, B. and Technau, Marc}, year={2022}, pages={251–263} }
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
@article{Baier_Mazumder_Technau_2021, title={On the distribution of αp modulo one in quadratic number fields}, volume={16}, DOI={10.2478/udt-2021-0006}, number={2}, journal={Unif. Distrib. Theory}, author={Baier, St. and Mazumder, D. and Technau, Marc}, year={2021}, pages={1–48} }
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
@article{Technau_Zafeiropoulos_2021, title={Metric results on summatory arithmetic functions on Beatty sets}, volume={197}, DOI={10.4064/aa200128-10-6}, number={1}, journal={Acta Arith.}, author={Technau, Marc and Zafeiropoulos, A.}, year={2021}, pages={93–104} }
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
@article{Baier_Technau_2020, title={On the distribution of αp modulo one in imaginary quadratic number fields with class number one}, volume={32}, DOI={10.5802/jtnb.1141}, number={2}, journal={J. Théor. Nombres Bordx.}, author={Baier, St. and Technau, Marc}, year={2020}, pages={719–760} }
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
@article{Technau_2020, title={Modular hyperbolas and Beatty sequences}, volume={208}, DOI={10.1016/j.jnt.2019.07.022}, journal={J. Number Theory}, author={Technau, Marc}, year={2020}, pages={148–167} }
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
@article{Shparlinski_Technau_2020, title={Kloosterman sums with twice-differentiable functions}, volume={63}, DOI={10.7169/facm/1845}, number={1}, journal={Funct. Approximatio, Comment. Math.}, author={Shparlinski, I. E. and Technau, Marc}, year={2020}, pages={113–124} }
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
@article{Barth_Beck_Dose_Glaßer_Michler_Technau_2020, title={Emptiness problems for integer circuits}, volume={824–825}, DOI={10.1016/j.tcs.2020.03.023}, journal={Theoretical Computer Science}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, year={2020}, pages={11–35} }
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
@article{Elsholtz_Technau_Technau_2019, title={The maximal order of iterated multiplicative functions}, volume={64}, DOI={10.1112/S0025579319000214}, number={4}, journal={Mathematika}, author={Elsholtz, Ch. and Technau, Marc and Technau, N.}, year={2019}, pages={990–1009} }
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
@article{Technau_2019, title={Generalised Beatty sets}, volume={25}, DOI={10.7546/nntdm.2019.25.2.127-135}, number={2}, journal={Notes Number Theory Discrete Math.}, author={Technau, Marc}, year={2019}, pages={127–135} }
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
@book{Technau_2018, place={Würzburg}, title={On Beatty sets and some generalisations thereof}, DOI={10.25972/WUP-978-3-95826-089-4}, publisher={University of Würzburg}, author={Technau, Marc}, year={2018} }
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
@book{Barth_Beck_Dose_Glaßer_Michler_Technau_2017, place={https://eccc.weizmann.ac.il/report/2017/012}, title={Emptiness problems for integer circuits}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, year={2017} }
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
@inproceedings{Barth_Beck_Dose_Glaßer_Michler_Technau_2017, series={Leibniz International Proceedings in Informatics (LIPIcs)}, title={Emptiness problems for integer circuits}, volume={83}, DOI={10.4230/LIPIcs.MFCS.2017.33}, booktitle={42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)}, publisher={Schloss Dagstuhl–Leibniz-Zentrum für Informatik}, author={Barth, D. and Beck, M. and Dose, T. and Glaßer, Ch. and Michler, L. and Technau, Marc}, editor={Larsen, Kim G. and Bodlaender, Hans L. and Raskin, Jean-Francois}, year={2017}, pages={33:1–33:14}, collection={Leibniz International Proceedings in Informatics (LIPIcs)} }
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
@article{Technau_Technau_2017, title={A Loewner equation for infinitely many slits}, volume={17}, DOI={10.1007/s40315-016-0179-6}, number={2}, journal={Comput. Methods Funct. Theory}, author={Technau, Marc and Technau, N.}, year={2017}, pages={255–272} }
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
@article{Steuding_Technau_2016, title={The least prime number in a Beatty sequence}, volume={169}, DOI={10.1016/j.jnt.2016.05.022}, journal={J. Number Theory}, author={Steuding, J. and Technau, Marc}, year={2016}, pages={144–159} }
LibreCat | DOI
 
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