Congruence of Ankeny-Artin-Chowla type modulo p^2

Stanislav Jakubec; Miroslav Laššák

Published: 1998-09-30

Vol. 12 (1998)

Congruence of Ankeny-Artin-Chowla type modulo p^2

Stanislav Jakubec , Miroslav Laššák

Abstract

In this paper the results of [4] and [5] on the congruence of Ankeny-Artin-Chowla type modulo p² for real subfields of the Q(ζ_p) of a prime degree l > 2 are simplified to explicit forms (2) and (3) of the Theorem 1. The congruence is then used to calculations of class numbers in special quintic fields and to some calculations in cubic fields.

Keywords:

class number , subfields of cyclotomic fields

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Jakubec, S., & Laššák, M. (1998). Congruence of Ankeny-Artin-Chowla type modulo p^2. Annales Mathematicae Silesianae, 12, 75–91. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14165

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References

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Stanislav Jakubec

jakubec@savba.savba.sk

Affiliation:

Mathematical Institute, Slovak Academy of Sciences Slovakia

Miroslav Laššák

Affiliation:

Mathematical Institute, Slovak Academy of Sciences Slovakia

Vol. 12 (1998)
Published: 1998-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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