Marc Philipp Technau

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

18 Publications

Mark all

[18]
2024 | Journal Article | LibreCat-ID: 55276
Minelli, P., et al. “On Restricted Averages of Dedekind Sums.” Int. Math. Res. Not. IMRN, vol. 2024, no. 10, 2024, pp. 8485–8502, doi:10.1093/imrn/rnad283.
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
Technau, Marc. “Remark on the Farey Fraction Spin Chain.” Proc. Amer. Math. Soc., vol. 152, no. 1, 2024, pp. 63–69, doi:10.1090/proc/16520.
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
Klahn, B., and Marc Technau. “Galois Groups of (n₀)+(n₁)X+…+(n₆)X6.” Int. J. Number Theory, vol. 19, no. 10, 2023, pp. 2443–2450, doi:10.1142/S1793042123501208.
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
Minelli, P., et al. “Bias in the Number of Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” Math. Ann., vol. 387, 2023, pp. 291–320, doi:10.1007/s00208-022-02452-2.
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
Elsholtz, Ch., et al. “On Polynomials with Roots modulo Almost All Primes.” Acta Arith., vol. 205:3, no. 3, 2022, pp. 251–263, doi:10.4064/aa220407-9-7.
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
Baier, St., et al. “On the Distribution of Αp modulo One in Quadratic Number Fields.” Unif. Distrib. Theory, vol. 16, no. 2, 2021, pp. 1–48, doi:10.2478/udt-2021-0006.
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
Technau, Marc, and A. Zafeiropoulos. “Metric Results on Summatory Arithmetic Functions on Beatty Sets.” Acta Arith., vol. 197, no. 1, 2021, pp. 93–104, doi:10.4064/aa200128-10-6.
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
Baier, St., and Marc 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, 2020, pp. 719–760, doi:10.5802/jtnb.1141.
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
Technau, Marc. “Modular Hyperbolas and Beatty Sequences.” J. Number Theory, vol. 208, 2020, pp. 148–167, doi:10.1016/j.jnt.2019.07.022.
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
Shparlinski, I. E., and Marc Technau. “Kloosterman Sums with Twice-Differentiable Functions.” Funct. Approximatio, Comment. Math., vol. 63, no. 1, 2020, pp. 113–124, doi:10.7169/facm/1845.
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
Barth, D., et al. “Emptiness Problems for Integer Circuits.” Theoretical Computer Science, vol. 824–825, 2020, pp. 11–35, doi:10.1016/j.tcs.2020.03.023.
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
Elsholtz, Ch., et al. “The Maximal Order of Iterated Multiplicative Functions.” Mathematika, vol. 64, no. 4, 2019, pp. 990–1009, doi:10.1112/S0025579319000214.
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
Technau, Marc. “Generalised Beatty Sets.” Notes Number Theory Discrete Math., vol. 25, no. 2, 2019, pp. 127–135, doi:10.7546/nntdm.2019.25.2.127-135.
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
Technau, Marc. On Beatty Sets and Some Generalisations Thereof. University of Würzburg, 2018, doi:10.25972/WUP-978-3-95826-089-4.
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
Barth, D., et al. Emptiness Problems for Integer Circuits. 2017.
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
Barth, D., et al. “Emptiness Problems for Integer Circuits.” 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), edited by Kim G. Larsen et al., vol. 83, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2017, p. 33:1–33:14, doi:10.4230/LIPIcs.MFCS.2017.33.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
Technau, Marc, and N. Technau. “A Loewner Equation for Infinitely Many Slits.” Comput. Methods Funct. Theory, vol. 17, no. 2, 2017, pp. 255–272, doi:10.1007/s40315-016-0179-6.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
Steuding, J., and Marc Technau. “The Least Prime Number in a Beatty Sequence.” J. Number Theory, vol. 169, 2016, pp. 144–159, 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
Minelli, P., et al. “On Restricted Averages of Dedekind Sums.” Int. Math. Res. Not. IMRN, vol. 2024, no. 10, 2024, pp. 8485–8502, doi:10.1093/imrn/rnad283.
LibreCat | DOI
 
[17]
2024 | Journal Article | LibreCat-ID: 55278
Technau, Marc. “Remark on the Farey Fraction Spin Chain.” Proc. Amer. Math. Soc., vol. 152, no. 1, 2024, pp. 63–69, doi:10.1090/proc/16520.
LibreCat | DOI
 
[16]
2023 | Journal Article | LibreCat-ID: 55277
Klahn, B., and Marc Technau. “Galois Groups of (n₀)+(n₁)X+…+(n₆)X6.” Int. J. Number Theory, vol. 19, no. 10, 2023, pp. 2443–2450, doi:10.1142/S1793042123501208.
LibreCat | DOI
 
[15]
2023 | Journal Article | LibreCat-ID: 55279
Minelli, P., et al. “Bias in the Number of Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” Math. Ann., vol. 387, 2023, pp. 291–320, doi:10.1007/s00208-022-02452-2.
LibreCat | DOI
 
[14]
2022 | Journal Article | LibreCat-ID: 55280
Elsholtz, Ch., et al. “On Polynomials with Roots modulo Almost All Primes.” Acta Arith., vol. 205:3, no. 3, 2022, pp. 251–263, doi:10.4064/aa220407-9-7.
LibreCat | DOI
 
[13]
2021 | Journal Article | LibreCat-ID: 55290
Baier, St., et al. “On the Distribution of Αp modulo One in Quadratic Number Fields.” Unif. Distrib. Theory, vol. 16, no. 2, 2021, pp. 1–48, doi:10.2478/udt-2021-0006.
LibreCat | DOI
 
[12]
2021 | Journal Article | LibreCat-ID: 55289
Technau, Marc, and A. Zafeiropoulos. “Metric Results on Summatory Arithmetic Functions on Beatty Sets.” Acta Arith., vol. 197, no. 1, 2021, pp. 93–104, doi:10.4064/aa200128-10-6.
LibreCat | DOI
 
[11]
2020 | Journal Article | LibreCat-ID: 55288
Baier, St., and Marc 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, 2020, pp. 719–760, doi:10.5802/jtnb.1141.
LibreCat | DOI
 
[10]
2020 | Journal Article | LibreCat-ID: 55286
Technau, Marc. “Modular Hyperbolas and Beatty Sequences.” J. Number Theory, vol. 208, 2020, pp. 148–167, doi:10.1016/j.jnt.2019.07.022.
LibreCat | DOI
 
[9]
2020 | Journal Article | LibreCat-ID: 55287
Shparlinski, I. E., and Marc Technau. “Kloosterman Sums with Twice-Differentiable Functions.” Funct. Approximatio, Comment. Math., vol. 63, no. 1, 2020, pp. 113–124, doi:10.7169/facm/1845.
LibreCat | DOI
 
[8]
2020 | Journal Article | LibreCat-ID: 55283
Barth, D., et al. “Emptiness Problems for Integer Circuits.” Theoretical Computer Science, vol. 824–825, 2020, pp. 11–35, doi:10.1016/j.tcs.2020.03.023.
LibreCat | DOI
 
[7]
2019 | Journal Article | LibreCat-ID: 55284
Elsholtz, Ch., et al. “The Maximal Order of Iterated Multiplicative Functions.” Mathematika, vol. 64, no. 4, 2019, pp. 990–1009, doi:10.1112/S0025579319000214.
LibreCat | DOI
 
[6]
2019 | Journal Article | LibreCat-ID: 55285
Technau, Marc. “Generalised Beatty Sets.” Notes Number Theory Discrete Math., vol. 25, no. 2, 2019, pp. 127–135, doi:10.7546/nntdm.2019.25.2.127-135.
LibreCat | DOI
 
[5]
2018 | Dissertation | LibreCat-ID: 55291
Technau, Marc. On Beatty Sets and Some Generalisations Thereof. University of Würzburg, 2018, doi:10.25972/WUP-978-3-95826-089-4.
LibreCat | DOI
 
[4]
2017 | Report | LibreCat-ID: 55293
Barth, D., et al. Emptiness Problems for Integer Circuits. 2017.
LibreCat
 
[3]
2017 | Conference Paper | LibreCat-ID: 55292
Barth, D., et al. “Emptiness Problems for Integer Circuits.” 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), edited by Kim G. Larsen et al., vol. 83, Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2017, p. 33:1–33:14, doi:10.4230/LIPIcs.MFCS.2017.33.
LibreCat | DOI
 
[2]
2017 | Journal Article | LibreCat-ID: 55275
Technau, Marc, and N. Technau. “A Loewner Equation for Infinitely Many Slits.” Comput. Methods Funct. Theory, vol. 17, no. 2, 2017, pp. 255–272, doi:10.1007/s40315-016-0179-6.
LibreCat | DOI
 
[1]
2016 | Journal Article | LibreCat-ID: 55281
Steuding, J., and Marc Technau. “The Least Prime Number in a Beatty Sequence.” J. Number Theory, vol. 169, 2016, pp. 144–159, doi:10.1016/j.jnt.2016.05.022.
LibreCat | DOI
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: MLA

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