Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer
Number Theory
2020-10-05 v7
Abstract
Uniformly for small and , we obtain an estimate for the weighted number of ways a sufficiently large integer can be represented as the sum of a prime congruent to modulo and a square-free integer. Our method is based on the notion of local model developed by Ramar\'e and may be viewed as an abstract circle method.
Keywords
Cite
@article{arxiv.1904.06783,
title = {Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer},
author = {Kam Hung Yau},
journal= {arXiv preprint arXiv:1904.06783},
year = {2020}
}
Comments
Fixed typos, accepted in Funct. Approx. Comment. Math