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Divisibility Parameters and the Degree of Kummer Extensions of Number Fields Cover

Divisibility Parameters and the Degree of Kummer Extensions of Number Fields

Open Access
|Feb 2022

References

  1. DEBRY, C.—PERUCCA, A.: Reductions of algebraic integers, J. Number Theory 167 (2016), 259–283.<a href="https://doi.org/10.1016/j.jnt.2016.03.001" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1016/j.jnt.2016.03.001</a>
  2. PERUCCA, A.: The order of the reductions of an algebraic integer, J. Number Theory, 148 (2015), 121–136.<a href="https://doi.org/10.1016/j.jnt.2014.09.022" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1016/j.jnt.2014.09.022</a>
  3. PERUCCA, A.—SGOBBA, P.—TRONTO, S.: Addendum to: Reductions of algebraic integers [J. Number Theory 167 (2016), 259–283], J. Number Theory 209 (2020), 391–395.<a href="https://doi.org/10.1016/j.jnt.2019.09.004" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">10.1016/j.jnt.2019.09.004</a>
  4. PERUCCA, A.—SGOBBA, P.—TRONTO, S.: The degree of Kummer extensions of number fields, Int. J. Number Theory 17 (2021), no. 5, 1091–1110. DOI: <a href="https://doi.org/10.1142/S1793042121500263.10.1142/S1793042121500263" target="_blank" rel="noopener noreferrer" class="text-signal-blue hover:underline">https://doi.org/10.1142/S1793042121500263.10.1142/S1793042121500263</a>
DOI: https://doi.org/10.2478/udt-2021-0008 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X
Language: English
Page range: 71 - 88
Submitted on: Oct 13, 2020
Accepted on: Aug 30, 2021
Published on: Feb 2, 2022
Published by: Slovak Academy of Sciences
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2022 Antonella Perucca, Pietro Sgobba, Sebastiano Tronto, published by Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.