A paucity problem for certain triples of diagonal equations

Published 7 Jun 2021 in math.NT | (2106.03986v1)

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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