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 $x$ 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.
