Towards Ankeny-Artin-Chowla type congruence modulo p^3

František Marko

Published: 2006-09-29

Vol. 20 (2006)

Towards Ankeny-Artin-Chowla type congruence modulo p^3

František Marko

Abstract

We formulate and generalize the technique of Jakubec established to derive congruences of Ankeny-Artin-Chowla type for a cyclic subfleld K of prime conductor p. Then we concentrate on the case of congruences modulo p³ and clear a significant technical hurdle which allows us to formulate Ankeny-Artin-Chowla congruences modulo p³ in a concise way.

Keywords:

Ankeny-Artin-Chowla congruence , class number , divisibility , units

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Marko, F. (2006). Towards Ankeny-Artin-Chowla type congruence modulo p^3. Annales Mathematicae Silesianae, 20, 31–55. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14067

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References

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Vol. 20 (2006)
Published: 2006-09-29

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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