A simple proof of the Zolotareff-Frobenius theorem-Reference-Cited by-同舟云学术

A simple proof of the Zolotareff-Frobenius theorem

Published:1976 Issue:1 Volume:54 Page:53-54
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dressler Robert E.,Shult Ernest E.

Abstract

We give a noncomputational, elementary group-theoretic proof of the Zolotareff-Frobenius Theorem. We use no results from the theory of quadratic residues.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-054-01/S0002-9939-1976-0389732-8/S0002-9939-1976-0389732-8.pdf

Reference5 articles.

1. G. Frobenius, Über das quadratische Reziprozitätsgesetz. I, S.-B. Preuss. Akad. Wiss. Berlin 1914, 335-349.

2. M. Lerch, Sur un Théorème arithmétique de Zolotarev, Bull. Intern. 3, Prague, 1896.

3. Über einige Anwendungen Dedekindscher Summen;Meyer, C.;J. Reine Angew. Math.,1957

4. Sur le lemme de Zolotareff et sur la loi de réciprocité des restes quadratiques;Riesz, Marcel;Math. Scand.,1953

5. E. Zolotareff, Nouvelle démonstration de la loi de réciprocité de Legendre, Novelles Ann. Math. (2) 11 (1872), 355-362.

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