QUINTIC POLYNOMIALS OF HASHIMOTO–TSUNOGAI, BRUMER AND KUMMER-Reference-Cited by-同舟云学术

QUINTIC POLYNOMIALS OF HASHIMOTO–TSUNOGAI, BRUMER AND KUMMER

Published:2009-06 Issue:04 Volume:05 Page:555-571
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

KIDA MASANARI¹,RENAULT GUÉNAËL²,YOKOYAMA KAZUHIRO³

Affiliation:

1. Department of Mathematics, The University of Electro-Communications, Chofu, Tokyo 182-8585, Japan

2. Équipe-Project SALSA-LIP6/INRIA Paris-Rocquencourt, Université Pierre et Marie Curie, 4 place Jussieu, Boite Courier 169, F-75252 Paris Cedex 05, France

3. Department of Mathematics, Rikkyo University, Nishi-Ikebukuro, Tokyo 171-8501, Japan

Abstract

We establish an isomorphism between the quintic cyclic polynomials discovered by Hashimoto–Tsunogai and those arising from Kummer theory for certain algebraic tori. This enables us to solve the isomorphism problem for Hashimoto–Tsunogai polynomials and also Brumer's quintic polynomials.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042109002250

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