An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem
Number Theory
2023-09-15 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2308.14859,
title = {An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem},
author = {Xiaochun Li and Xuerui Yang},
journal= {arXiv preprint arXiv:2308.14859},
year = {2023}
}