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

Autor:	Li, Xiaochun, Yang, Xuerui
Rok vydání:	2023
Předmět:	Mathematics - Number Theory Mathematics - Classical Analysis and ODEs 42A 11A
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.14859 Zobrazit plný text záznamu View this record from Arxiv