Number fields without n-ary universal quadratic forms-Reference-Cited by-同舟云学术

Number fields without n-ary universal quadratic forms

Published:2015-06-08 Issue:2 Volume:159 Page:239-252
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

BLOMER VALENTIN,KALA VÍTĚZSLAV

Abstract

AbstractGiven any positive integer M, we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms with even cross coefficients in M variables.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Analytic Number Theory

2. Ternary universal integral quadratic forms over real quadratic fields

3. Sums of m th Powers of Algebraic Integers

4. Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms

5. Constructing families of long continued fractions

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