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arXiv · 2106.03986

A paucity problem for certain triples of diagonal equations

Joerg Bruedern·Trevor D. Wooley
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Abstract

We consider certain systems of three linked simultaneous diagonal equations in ten variables with total degree exceeding five. By means of a complification argument, we obtain an asymptotic formula for the number of integral solutions of this system of bounded height that resolves the associated paucity problem.

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Joerg Bruedern, Trevor D. Wooley. 2021-06-07. A paucity problem for certain triples of diagonal equations. https://arxiv.org/abs/2106.03986

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