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76 Publications
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
| DOI
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
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
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.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34916
M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,” Journal of Number Theory, vol. 197, pp. 121–134, 2019, doi: 10.1016/j.jnt.2018.08.004.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 55284
Ch. Elsholtz, M. Technau, and N. Technau, “The maximal order of iterated multiplicative functions,” Mathematika, vol. 64, no. 4, pp. 990–1009, 2019, doi: 10.1112/S0025579319000214.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 55285
M. Technau, “Generalised Beatty sets,” Notes Number Theory Discrete Math., vol. 25, no. 2, pp. 127–135, 2019, doi: 10.7546/nntdm.2019.25.2.127-135.
LibreCat
| DOI
2019 | Journal Article | LibreCat-ID: 34915
M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” Archiv der Mathematik, vol. 113, no. 4, pp. 337–347, 2019, doi: 10.1007/s00013-019-01348-z.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 34843
A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and applications to Galois group computations,” Journal of Symbolic Computation, vol. 93, pp. 1–20, 2018, doi: 10.1016/j.jsc.2018.04.013.
LibreCat
| DOI
| arXiv
2018 | Journal Article | LibreCat-ID: 42790
M. Kirschmer, “One-class genera of exceptional groups over number fields,” Journal de Théorie des Nombres de Bordeaux, vol. 30, no. 3, pp. 847–857, 2018, doi: 10.5802/jtnb.1052.
LibreCat
| DOI
2017 | Report | LibreCat-ID: 55293
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, Emptiness problems for integer circuits. https://eccc.weizmann.ac.il/report/2017/012, 2017.
LibreCat
2017 | Conference Paper | LibreCat-ID: 55292
D. Barth, M. Beck, T. Dose, Ch. Glaßer, L. Michler, and M. Technau, “Emptiness problems for integer circuits,” in 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017), 2017, vol. 83, p. 33:1–33:14, doi: 10.4230/LIPIcs.MFCS.2017.33.
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| DOI