Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer

2019/04/14 by Yau, Kam Hung
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1904.06783

Abstract

Uniformly for small q and (a,q)=1, 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 a modulo q and a square-free integer. Our method is based on the notion of local model developed by Ramaré and may be viewed as an abstract circle method.

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