The additive problem for the number of representations as a sum of two squares

2020/09/03 by Fernando Chamizo, Chamizo, Fernando · 1 citation
Mathematics · #Analytic Number Theory Research #Limits and Structures in Graph Theory #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2009.01667

Abstract

We improve a previous unconditional result about the asymptotic behavior of ∑_{n≤ x} r(n)r(n+m) with r(n) the number of representations of n as a sum of two squares when m may vary with x.

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