REPRESENTATION OF AN INTEGER AS THE SUM OF A PRIME IN ARITHMETIC PROGRESSION AND A SQUARE-FREE INTEGER

被引：1

作者：

Yau, Kam Hung ^{[1
]}

机构：

[1] Univ New South Wales, Dept Pure Math, Sydney, NSW 2052, Australia

来源：

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI | 2021年 / 64卷 / 01期

关键词：

binary additive problem; circle method; local model; Ramanujan sum;

D O I：

10.7169/facm/1896

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：77 / 108

页数：32

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