A note on integers expressible as the sum of three squares of primes
Volume 214 / 2024
Acta Arithmetica 214 (2024), 399-419
MSC: Primary 11N05; Secondary 11N35
DOI: 10.4064/aa230708-24-5
Published online: 2 July 2024
Abstract
We show that the set of integers less than 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.
