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

关键词：

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

D O I：

10.4064/aa230708-24-5

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

页数：21

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