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Pairs of diagonal quartic forms: the asymptotic formulae

Authors :
Bruedern, Joerg
Wooley, Trevor D.
Publication Year :
2022

Abstract

We establish an asymptotic formula for the number of integral solutions of bounded height for pairs of diagonal quartic equations in $26$ or more variables. In certain cases, pairs in $25$ variables can be handled.<br />Comment: 37 pages

Subjects

Subjects :
Mathematics - Number Theory
11D72, 11P55, 11E76

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2211.10397
Document Type :
Working Paper

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