Slim exceptional sets of Waring-Goldbach problem: two squares, two cubes and two biquadrates

被引：0

作者：

Tian, S. ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai, Peoples R China

来源：

SBORNIK MATHEMATICS | 2025年 / 216卷 / 01期

关键词：

Waring-Goldbach problem; Hardy-Littlewood method; exceptional set; SUMS; POWERS;

D O I：

10.4213/sm10001e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let N be a sufficiently large number. We show that, with at most O(N3/32+epsilon) exceptions, all even positive integers not exceeding N can be represented in the form p21 + p22 + p3 3 + p3 4 + p4 5 + p46, where p1, p2, ... , p6 are prime numbers. This is an improvement of the result O(N7/18+epsilon) due to Zhang and Li.

引用

页码：87 / 98

页数：13

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