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18 Publications
2024 | Journal Article | LibreCat-ID: 55276
Minelli, P., A. Sourmelidis, and Marc Technau. “On Restricted Averages of Dedekind Sums.” Int. Math. Res. Not. IMRN 2024, no. 10 (2024): 8485–8502. https://doi.org/10.1093/imrn/rnad283.
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2024 | Journal Article | LibreCat-ID: 55278
Technau, Marc. “Remark on the Farey Fraction Spin Chain.” Proc. Amer. Math. Soc. 152, no. 1 (2024): 63–69. https://doi.org/10.1090/proc/16520.
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2023 | Journal Article | LibreCat-ID: 55277
Klahn, B., and Marc Technau. “Galois Groups of (n₀)+(n₁)X+…+(n₆)X6.” Int. J. Number Theory 19, no. 10 (2023): 2443–2450. https://doi.org/10.1142/S1793042123501208.
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2023 | Journal Article | LibreCat-ID: 55279
Minelli, P., A. Sourmelidis, and Marc Technau. “Bias in the Number of Steps in the Euclidean Algorithm and a Conjecture of Ito on Dedekind Sums.” Math. Ann. 387 (2023): 291–320. https://doi.org/10.1007/s00208-022-02452-2.
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2022 | Journal Article | LibreCat-ID: 55280
Elsholtz, Ch., B. Klahn, and Marc Technau. “On Polynomials with Roots modulo Almost All Primes.” Acta Arith. 205:3, no. 3 (2022): 251–263. https://doi.org/10.4064/aa220407-9-7.
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2021 | Journal Article | LibreCat-ID: 55290
Baier, St., D. Mazumder, and Marc Technau. “On the Distribution of Αp modulo One in Quadratic Number Fields.” Unif. Distrib. Theory 16, no. 2 (2021): 1–48. https://doi.org/10.2478/udt-2021-0006.
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2021 | Journal Article | LibreCat-ID: 55289
Technau, Marc, and A. Zafeiropoulos. “Metric Results on Summatory Arithmetic Functions on Beatty Sets.” Acta Arith. 197, no. 1 (2021): 93–104. https://doi.org/10.4064/aa200128-10-6.
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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. 32, no. 2 (2020): 719–760. https://doi.org/10.5802/jtnb.1141.
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2020 | Journal Article | LibreCat-ID: 55286
Technau, Marc. “Modular Hyperbolas and Beatty Sequences.” J. Number Theory 208 (2020): 148–167. https://doi.org/10.1016/j.jnt.2019.07.022.
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2020 | Journal Article | LibreCat-ID: 55287
Shparlinski, I. E., and Marc Technau. “Kloosterman Sums with Twice-Differentiable Functions.” Funct. Approximatio, Comment. Math. 63, no. 1 (2020): 113–124. https://doi.org/10.7169/facm/1845.
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2020 | Journal Article | LibreCat-ID: 55283
Barth, D., M. Beck, T. Dose, Ch. Glaßer, L. Michler, and Marc Technau. “Emptiness Problems for Integer Circuits.” Theoretical Computer Science 824–825 (2020): 11–35. https://doi.org/10.1016/j.tcs.2020.03.023.
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2019 | Journal Article | LibreCat-ID: 55284
Elsholtz, Ch., Marc Technau, and N. Technau. “The Maximal Order of Iterated Multiplicative Functions.” Mathematika 64, no. 4 (2019): 990–1009. https://doi.org/10.1112/S0025579319000214.
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2019 | Journal Article | LibreCat-ID: 55285
Technau, Marc. “Generalised Beatty Sets.” Notes Number Theory Discrete Math. 25, no. 2 (2019): 127–135. https://doi.org/10.7546/nntdm.2019.25.2.127-135.
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2018 | Dissertation | LibreCat-ID: 55291
Technau, Marc. On Beatty Sets and Some Generalisations Thereof. Würzburg: University of Würzburg, 2018. https://doi.org/10.25972/WUP-978-3-95826-089-4.
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2017 | Report | LibreCat-ID: 55293
Barth, D., M. Beck, T. Dose, Ch. Glaßer, L. Michler, and Marc Technau. Emptiness Problems for Integer Circuits. https://eccc.weizmann.ac.il/report/2017/012, 2017.
LibreCat
2017 | Conference Paper | LibreCat-ID: 55292
Barth, D., M. Beck, T. Dose, Ch. Glaßer, L. Michler, and Marc Technau. “Emptiness Problems for Integer Circuits.” In 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), edited by Kim G. Larsen, Hans L. Bodlaender, and Jean-Francois Raskin, 83:33:1–33:14. Leibniz International Proceedings in Informatics (LIPIcs). Schloss Dagstuhl–Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.33.
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2017 | Journal Article | LibreCat-ID: 55275
Technau, Marc, and N. Technau. “A Loewner Equation for Infinitely Many Slits.” Comput. Methods Funct. Theory 17, no. 2 (2017): 255–272. https://doi.org/10.1007/s40315-016-0179-6.
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2016 | Journal Article | LibreCat-ID: 55281
Steuding, J., and Marc Technau. “The Least Prime Number in a Beatty Sequence.” J. Number Theory 169 (2016): 144–159. https://doi.org/10.1016/j.jnt.2016.05.022.
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