Marc Philipp Technau

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

18 Publications

Mark all

[18]
2024 | Journal Article | LibreCat-ID: 55276
P. Minelli, A. Sourmelidis, and M. Technau, “On restricted averages of Dedekind sums,” Int. Math. Res. Not. IMRN, vol. 2024, no. 10, pp. 8485–8502, 2024, doi: 10.1093/imrn/rnad283.
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
M. Technau, “Remark on the Farey fraction spin chain,” Proc. Amer. Math. Soc., vol. 152, no. 1, pp. 63–69, 2024, doi: 10.1090/proc/16520.
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
B. Klahn and M. Technau, “Galois groups of (n₀)+(n₁)X+…+(n₆)X6,” Int. J. Number Theory, vol. 19, no. 10, pp. 2443–2450, 2023, doi: 10.1142/S1793042123501208.
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
P. Minelli, A. Sourmelidis, and M. Technau, “Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums,” Math. Ann., vol. 387, pp. 291–320, 2023, doi: 10.1007/s00208-022-02452-2.
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
Ch. Elsholtz, B. Klahn, and M. Technau, “On polynomials with roots modulo almost all primes,” Acta Arith., vol. 205:3, no. 3, pp. 251–263, 2022, doi: 10.4064/aa220407-9-7.
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
St. Baier, D. Mazumder, and M. Technau, “On the distribution of αp modulo one in quadratic number fields,” Unif. Distrib. Theory, vol. 16, no. 2, pp. 1–48, 2021, doi: 10.2478/udt-2021-0006.
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
M. Technau and A. Zafeiropoulos, “Metric results on summatory arithmetic functions on Beatty sets,” Acta Arith., vol. 197, no. 1, pp. 93–104, 2021, doi: 10.4064/aa200128-10-6.
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
St. Baier and M. Technau, “On the distribution of αp modulo one in imaginary quadratic number fields with class number one,” J. Théor. Nombres Bordx., vol. 32, no. 2, pp. 719–760, 2020, doi: 10.5802/jtnb.1141.
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
M. Technau, “Modular hyperbolas and Beatty sequences,” J. Number Theory, vol. 208, pp. 148–167, 2020, doi: 10.1016/j.jnt.2019.07.022.
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
I. E. Shparlinski and M. Technau, “Kloosterman sums with twice-differentiable functions,” Funct. Approximatio, Comment. Math., vol. 63, no. 1, pp. 113–124, 2020, doi: 10.7169/facm/1845.
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, “Emptiness problems for integer circuits,” Theoretical Computer Science, vol. 824–825, pp. 11–35, 2020, doi: 10.1016/j.tcs.2020.03.023.
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
Ch. Elsholtz, M. Technau, and N. Technau, “The maximal order of iterated multiplicative functions,” Mathematika, vol. 64, no. 4, pp. 990–1009, 2019, doi: 10.1112/S0025579319000214.
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
M. Technau, “Generalised Beatty sets,” Notes Number Theory Discrete Math., vol. 25, no. 2, pp. 127–135, 2019, doi: 10.7546/nntdm.2019.25.2.127-135.
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
M. Technau, On Beatty sets and some generalisations thereof. Würzburg: University of Würzburg, 2018.
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, Emptiness problems for integer circuits. https://eccc.weizmann.ac.il/report/2017/012, 2017.
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, “Emptiness problems for integer circuits,” in 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), 2017, vol. 83, p. 33:1–33:14, doi: 10.4230/LIPIcs.MFCS.2017.33.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
M. Technau and N. Technau, “A Loewner equation for infinitely many slits,” Comput. Methods Funct. Theory, vol. 17, no. 2, pp. 255–272, 2017, doi: 10.1007/s40315-016-0179-6.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
J. Steuding and M. Technau, “The least prime number in a Beatty sequence,” J. Number Theory, vol. 169, pp. 144–159, 2016, doi: 10.1016/j.jnt.2016.05.022.
LibreCat | DOI
 
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18 Publications

Mark all

[18]
2024 | Journal Article | LibreCat-ID: 55276
P. Minelli, A. Sourmelidis, and M. Technau, “On restricted averages of Dedekind sums,” Int. Math. Res. Not. IMRN, vol. 2024, no. 10, pp. 8485–8502, 2024, doi: 10.1093/imrn/rnad283.
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
M. Technau, “Remark on the Farey fraction spin chain,” Proc. Amer. Math. Soc., vol. 152, no. 1, pp. 63–69, 2024, doi: 10.1090/proc/16520.
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
B. Klahn and M. Technau, “Galois groups of (n₀)+(n₁)X+…+(n₆)X6,” Int. J. Number Theory, vol. 19, no. 10, pp. 2443–2450, 2023, doi: 10.1142/S1793042123501208.
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
P. Minelli, A. Sourmelidis, and M. Technau, “Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums,” Math. Ann., vol. 387, pp. 291–320, 2023, doi: 10.1007/s00208-022-02452-2.
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
Ch. Elsholtz, B. Klahn, and M. Technau, “On polynomials with roots modulo almost all primes,” Acta Arith., vol. 205:3, no. 3, pp. 251–263, 2022, doi: 10.4064/aa220407-9-7.
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
St. Baier, D. Mazumder, and M. Technau, “On the distribution of αp modulo one in quadratic number fields,” Unif. Distrib. Theory, vol. 16, no. 2, pp. 1–48, 2021, doi: 10.2478/udt-2021-0006.
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
M. Technau and A. Zafeiropoulos, “Metric results on summatory arithmetic functions on Beatty sets,” Acta Arith., vol. 197, no. 1, pp. 93–104, 2021, doi: 10.4064/aa200128-10-6.
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
St. Baier and M. Technau, “On the distribution of αp modulo one in imaginary quadratic number fields with class number one,” J. Théor. Nombres Bordx., vol. 32, no. 2, pp. 719–760, 2020, doi: 10.5802/jtnb.1141.
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
M. Technau, “Modular hyperbolas and Beatty sequences,” J. Number Theory, vol. 208, pp. 148–167, 2020, doi: 10.1016/j.jnt.2019.07.022.
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
I. E. Shparlinski and M. Technau, “Kloosterman sums with twice-differentiable functions,” Funct. Approximatio, Comment. Math., vol. 63, no. 1, pp. 113–124, 2020, doi: 10.7169/facm/1845.
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, “Emptiness problems for integer circuits,” Theoretical Computer Science, vol. 824–825, pp. 11–35, 2020, doi: 10.1016/j.tcs.2020.03.023.
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
Ch. Elsholtz, M. Technau, and N. Technau, “The maximal order of iterated multiplicative functions,” Mathematika, vol. 64, no. 4, pp. 990–1009, 2019, doi: 10.1112/S0025579319000214.
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
M. Technau, “Generalised Beatty sets,” Notes Number Theory Discrete Math., vol. 25, no. 2, pp. 127–135, 2019, doi: 10.7546/nntdm.2019.25.2.127-135.
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
M. Technau, On Beatty sets and some generalisations thereof. Würzburg: University of Würzburg, 2018.
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, Emptiness problems for integer circuits. https://eccc.weizmann.ac.il/report/2017/012, 2017.
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, “Emptiness problems for integer circuits,” in 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), 2017, vol. 83, p. 33:1–33:14, doi: 10.4230/LIPIcs.MFCS.2017.33.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
M. Technau and N. Technau, “A Loewner equation for infinitely many slits,” Comput. Methods Funct. Theory, vol. 17, no. 2, pp. 255–272, 2017, doi: 10.1007/s40315-016-0179-6.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
J. Steuding and M. Technau, “The least prime number in a Beatty sequence,” J. Number Theory, vol. 169, pp. 144–159, 2016, doi: 10.1016/j.jnt.2016.05.022.
LibreCat | DOI
 
Marked Publication(s)

Search

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Citation Style: IEEE

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