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March 2021 Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer
Kam Hung Yau
Funct. Approx. Comment. Math. 64(1): 77-108 (March 2021). DOI: 10.7169/facm/1896

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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Kam Hung Yau. "Representation of an integer as the sum of a prime in arithmetic progression and a square-free integer." Funct. Approx. Comment. Math. 64 (1) 77 - 108, March 2021. https://doi.org/10.7169/facm/1896

Information

Published: March 2021
First available in Project Euclid: 13 November 2020

Digital Object Identifier: 10.7169/facm/1896

Subjects:
Primary: 11P32 , 11P55 , 11T23

Keywords: binary additive problem , circle method , local model , Ramanujan sum

Rights: Copyright © 2021 Adam Mickiewicz University

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Vol.64 • No. 1 • March 2021
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