A note on integers expressible as the sum of three squares of primes

被引：0

作者：

Maynard, James ^{[1
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX2 6GG, England

来源：

ACTA ARITHMETICA | 2024年 / 214卷

基金：

欧洲研究理事会;

关键词：

prime numbers; sums of squares; sieve methods; circle method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the set of integers less than x which are not representable as the sum of three squares of primes but satisfy the natural congruence conditions has size O(x(27/32)), improving on earlier bounds of Harman and Kumchev.

引用

页码：399 / 419

页数：21