Pairs Of Diagonal Quartic Forms: The Non-Singular Hasse Principle-Reference-Cited by-同舟云学术

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Pairs Of Diagonal Quartic Forms: The Non-Singular Hasse Principle

Published:2022-07-08 Issue:1 Volume:74 Page:101-128
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Brüdern Jörg¹²,Wooley Trevor D¹²

Affiliation:

1. Mathematisches Institut, Bunsenstrasse 3–5, D-37073 Göttingen, Germany

2. Department of Mathematics, Purdue University , 150 N. University Street, West Lafayette, IN 47907-2067, USA

Abstract

Abstract We establish the non-singular Hasse principle for pairs of diagonal quartic equations in 22 or more variables.

Funder

Deutsche Forschungsgemein-schaft

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/qjmath/article-pdf/74/1/101/49946662/haac019.pdf

Reference13 articles.

1. Brauer groups of diagonal quartic surfaces;Bright;J. Symb. Comput.,2006

2. On Waring’s problem: two cubes and seven biquadrates;Brüdern;Tsukuba J. Math.,2000

3. The Hasse principle for pairs of diagonal cubic forms;Brüdern;Ann. Math.,2007

4. Subconvexity for additive equations: pairs of undenary cubic forms;Brüdern;J. Reine Angew. Math.,2014

5. Cubic moments of Fourier coefficients and pairs of diagonal quartic forms;Brüdern;J. Eur. Math. Soc.,2015

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Pairs of Diagonal Quartic Forms: The Asymptotic Formulae;International Mathematics Research Notices;2023-03-18

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