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arXiv · 2211.10397

Pairs of diagonal quartic forms: the asymptotic formulae

Joerg Bruedern·Trevor D. Wooley
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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.

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Joerg Bruedern, Trevor D. Wooley. 2022-11-18. Pairs of diagonal quartic forms: the asymptotic formulae. https://arxiv.org/abs/2211.10397

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