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77 Publications
2024 | Journal Article | LibreCat-ID: 55276
Minelli, P., Sourmelidis, A., & Technau, M. (2024). On restricted averages of Dedekind sums. Int. Math. Res. Not. IMRN, 2024(10), 8485–8502. https://doi.org/10.1093/imrn/rnad283
LibreCat
| DOI
2024 | Journal Article | LibreCat-ID: 55278
Technau, M. (2024). Remark on the Farey fraction spin chain. Proc. Amer. Math. Soc., 152(1), 63–69. https://doi.org/10.1090/proc/16520
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 49372
Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 55277
Klahn, B., & Technau, M. (2023). Galois groups of (n₀)+(n₁)X+…+(n₆)X6. Int. J. Number Theory, 19(10), 2443–2450. https://doi.org/10.1142/S1793042123501208
LibreCat
| DOI
2023 | Journal Article | LibreCat-ID: 55279
Minelli, P., Sourmelidis, A., & Technau, M. (2023). Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. Math. Ann., 387, 291–320. https://doi.org/10.1007/s00208-022-02452-2
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 55280
Elsholtz, Ch., Klahn, B., & Technau, M. (2022). On polynomials with roots modulo almost all primes. Acta Arith., 205:3(3), 251–263. https://doi.org/10.4064/aa220407-9-7
LibreCat
| DOI
2022 | Journal Article | LibreCat-ID: 34839
Klüners, J., & Wang, J. (2022). ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group. Proceedings of the American Mathematical Society, 150(7), 2793–2805. https://doi.org/10.1090/proc/15882
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, J. (2022). The asymptotics of nilpotent Galois groups. Acta Arithmetica, 204(2), 165–184. https://doi.org/10.4064/aa211207-16-5
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 55290
Baier, St., Mazumder, D., & Technau, M. (2021). On the distribution of αp modulo one in quadratic number fields. Unif. Distrib. Theory, 16(2), 1–48. https://doi.org/10.2478/udt-2021-0006
LibreCat
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2021 | Journal Article | LibreCat-ID: 55289
Technau, M., & Zafeiropoulos, A. (2021). Metric results on summatory arithmetic functions on Beatty sets. Acta Arith., 197(1), 93–104. https://doi.org/10.4064/aa200128-10-6
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 34840
Klüners, J., & Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. Mathematics of Computation, 90(329), 1483–1497. https://doi.org/10.1090/mcom/3609
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, M., Narbonne, F., Ritzenthaler, C., & Robert, D. (2021). Spanning the isogeny class of a power of an elliptic curve. Mathematics of Computation, 91(333), 401–449. https://doi.org/10.1090/mcom/3672
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 55288
Baier, St., & Technau, M. (2020). On the distribution of αp modulo one in imaginary quadratic number fields with class number one. J. Théor. Nombres Bordx., 32(2), 719–760. https://doi.org/10.5802/jtnb.1141
LibreCat
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2020 | Journal Article | LibreCat-ID: 55286
Technau, M. (2020). Modular hyperbolas and Beatty sequences. J. Number Theory, 208, 148–167. https://doi.org/10.1016/j.jnt.2019.07.022
LibreCat
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2020 | Journal Article | LibreCat-ID: 55287
Shparlinski, I. E., & Technau, M. (2020). Kloosterman sums with twice-differentiable functions. Funct. Approximatio, Comment. Math., 63(1), 113–124. https://doi.org/10.7169/facm/1845
LibreCat
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2020 | Journal Article | LibreCat-ID: 55283
Barth, D., Beck, M., Dose, T., Glaßer, Ch., Michler, L., & Technau, M. (2020). Emptiness problems for integer circuits. Theoretical Computer Science, 824–825, 11–35. https://doi.org/10.1016/j.tcs.2020.03.023
LibreCat
| DOI
2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007
LibreCat
| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, M., & Nebe, G. (2019). Quaternary quadratic lattices over number fields. International Journal of Number Theory, 15(02), 309–325. https://doi.org/10.1142/s1793042119500131
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