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Number fields without n-ary universal quadratic forms

Published online by Cambridge University Press:  08 June 2015

VALENTIN BLOMER  and
VÍTĚZSLAV KALA
VALENTIN BLOMER
Affiliation:
Mathematisches Institut, Bunsenstr. 3-5, D-37073 Göttingen, Germany. e-mail: blomer@uni-math.gwdg.de; vita.kala@gmail.com
VÍTĚZSLAV KALA
Affiliation:
Mathematisches Institut, Bunsenstr. 3-5, D-37073 Göttingen, Germany. e-mail: blomer@uni-math.gwdg.de; vita.kala@gmail.com
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Abstract

Given 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 2 , September 2015 , pp. 239 - 252
Copyright
Copyright © Cambridge Philosophical Society 2015 

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References

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