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77 Publications
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
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
2023 | Journal Article | LibreCat-ID: 49372
J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.
LibreCat
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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
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
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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
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2022 | Journal Article | LibreCat-ID: 34839
J. Klüners and J. Wang, “ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group,” Proceedings of the American Mathematical Society, vol. 150, no. 7, pp. 2793–2805, 2022, doi: 10.1090/proc/15882.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
J. Klüners, “The asymptotics of nilpotent Galois groups,” Acta Arithmetica, vol. 204, no. 2, pp. 165–184, 2022, doi: 10.4064/aa211207-16-5.
LibreCat
| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 45854
M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,” Experimental Mathematics, vol. 31, no. 1, pp. 280–301, 2022, doi: 10.1080/10586458.2019.1618756.
LibreCat
| DOI
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
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
2021 | Journal Article | LibreCat-ID: 34840
J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no. 329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the isogeny class of a power of an elliptic curve,” Mathematics of Computation, vol. 91, no. 333, pp. 401–449, 2021, doi: 10.1090/mcom/3672.
LibreCat
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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
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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.
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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.
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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
2020 | Journal Article | LibreCat-ID: 34842
A.-S. Elsenhans, J. Klüners, and F. Nicolae, “Imaginary quadratic number fields with class groups of small exponent,” Acta Arithmetica, vol. 193, no. 3, pp. 217–233, 2020, doi: 10.4064/aa180220-20-3.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
J. Klüners and R. Müller, “The conductor density of local function fields with abelian Galois group,” Journal of Number Theory, vol. 212, pp. 311–322, 2020, doi: 10.1016/j.jnt.2019.11.007.
LibreCat
| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 34917
M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,” International Journal of Number Theory, vol. 15, no. 02, pp. 309–325, 2019, doi: 10.1142/s1793042119500131.
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