An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem

2023/08/28 by Xiaochun Li, Li, Xiaochun, Xuerui Yang +1 · 1 citation
Mathematics · Computer Science · Physics and Astronomy · #Mathematics and Applications #Matrix Theory and Algorithms #Advanced Mathematical Theories and Applications

paper · pdf · doi:10.48550/arxiv.2308.14859

Abstract

Using Bombieri-Iwaniec method, we establish an improvement on both Gauss's Circle Problem and Dirichlet's Divisor Problem. More precisely, we derive a new estimate for the first spacing problem and combine it with Huxley's results on the second spacing problem.

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