Class number computations of real abelian number fields-Reference-Cited by-同舟云学术

Class number computations of real abelian number fields

Published:1982 Issue:160 Volume:39 Page:693-707
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

van der Linden F. J.

Abstract

In this paper we describe the calculation of the class numbers of most real abelian number fields of conductor ⩽ 200 \leqslant 200 . The technique is due to J. M. Masley and makes use of discriminant bounds of A. M. Odlyzko. In several cases we have to assume the generalized Riemann hypothesis.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1982-39-160/S0025-5718-1982-0669662-5/S0025-5718-1982-0669662-5.pdf

Reference23 articles.

1. Lehrb\"{u}cher und Monographien aus dem Gebiete der Exakten Wissenschaften, Mathematische Reihe, Band 32;Borewicz, Senon I.,1966

2. On the class group of relatively Abelian fields;Fröhlich, A.;Quart. J. Math. Oxford Ser. (2),1952

3. Signature des unités cyclotomiques et parité du nombre de classes des extensions cycliques de 𝑄 de degré premier impair;Gras, Georges;Ann. Inst. Fourier (Grenoble),1975

4. Méthodes et algorithmes pour le calcul numérique du nombre de classes et des unités des extensions cubiques cycliques de 𝑄;Gras, Marie-Nicole;J. Reine Angew. Math.,1975

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