Quadratic equations in several variables-Reference-Cited by-同舟云学术

Quadratic equations in several variables

Published:1958-04 Issue:2 Volume:54 Page:135-138
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Birch B. J.,Davenport H.

Abstract

Let

be a quadratic form in n variables (n ≥ 3) with integral coefficients. One of us gave recently (2) a simple proof of a result of Cassels (l), in the following form: if the equation f = 0 is properly soluble in integers, then it has a solution satisfying

where γn–1 denotes Hermite's constant.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

1. Bounds for the least solutions of homogeneous quadratic equations

2. On the equation ax2+by2?cz2=0

3. Note on a theorem of cassels

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