Pairs of diagonal quartic forms: the asymptotic formulae

2022/11/18 by Joerg Bruedern, Trevor D. Wooley, Bruedern, Joerg +1
Mathematics · #11D72 #11E76 #11P55 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.10397

openalex publication_date 2022/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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