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77 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.
LibreCat
| DOI
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: 49372
Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w.
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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.
LibreCat
| DOI
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.
LibreCat
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2022 | Journal Article | LibreCat-ID: 34839
Klüners, Jürgen, and Jiuya Wang. “ℓ-Torsion Bounds for the Class Group of Number Fields with an ℓ-Group as Galois Group.” Proceedings of the American Mathematical Society 150, no. 7 (2022): 2793–2805. https://doi.org/10.1090/proc/15882.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica 204, no. 2 (2022): 165–84. https://doi.org/10.4064/aa211207-16-5.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics 31, no. 1 (2022): 280–301. https://doi.org/10.1080/10586458.2019.1618756.
LibreCat
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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.
LibreCat
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2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.
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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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2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica 193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.
LibreCat
| DOI
| arXiv
2020 | Journal Article | LibreCat-ID: 34841
Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.
LibreCat
| DOI
| arXiv
2019 | Journal Article | LibreCat-ID: 34917
Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” International Journal of Number Theory 15, no. 02 (2019): 309–25. https://doi.org/10.1142/s1793042119500131.
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