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77 Publications


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.
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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.
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2023 | Journal Article | LibreCat-ID: 49372
Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi: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, vol. 19, no. 10, 2023, pp. 2443–2450, doi:10.1142/S1793042123501208.
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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.
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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.
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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, vol. 150, no. 7, American Mathematical Society (AMS), 2022, pp. 2793–805, doi:10.1090/proc/15882.
LibreCat | DOI | arXiv
 

2022 | Journal Article | LibreCat-ID: 34835
Klüners, Jürgen. “The Asymptotics of Nilpotent Galois Groups.” Acta Arithmetica, vol. 204, no. 2, Institute of Mathematics, Polish Academy of Sciences, 2022, pp. 165–84, doi:10.4064/aa211207-16-5.
LibreCat | DOI | arXiv
 

2022 | Journal Article | LibreCat-ID: 45854
Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756.
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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.
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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., vol. 197, no. 1, 2021, pp. 93–104, doi:10.4064/aa200128-10-6.
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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, vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:10.1090/mcom/3609.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, et al. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation, vol. 91, no. 333, American Mathematical Society (AMS), 2021, pp. 401–49, doi: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., vol. 32, no. 2, 2020, pp. 719–760, doi:10.5802/jtnb.1141.
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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.
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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., vol. 63, no. 1, 2020, pp. 113–124, doi:10.7169/facm/1845.
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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.
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2020 | Journal Article | LibreCat-ID: 34842
Elsenhans, Andreas-Stephan, et al. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica, vol. 193, no. 3, Institute of Mathematics, Polish Academy of Sciences, 2020, pp. 217–33, doi: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, vol. 212, Elsevier BV, 2020, pp. 311–22, doi: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, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:10.1142/s1793042119500131.
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