Title: Representation of an integer as the sum of a prime in arithmetic progression and a squarefree integer with certain parity
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 Ramare and may be viewed as an abstract circle method.
Publication Year: 2019
Publication Date: 2019-04-14
Language: en
Type: article
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