On a ternary Diophantine inequality with one prime of the form p=x2+y2+1

被引：0
作者：
Liu, Yuhui [1 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
来源：
RAMANUJAN JOURNAL | 2025年 / 66卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Diophantine inequality; Exponential sum; Primes;
D O I：
10.1007/s11139-024-00986-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let 1 < c < (127)/(113 )be a fixed number and N be a sufficiently large real number. In this paper, it is proved that the Diophantine inequality |p (c)(1) + p (c)(2) + p(3)(c) - N | < epsilon is solvable in prime variables p(1 ), p(2) , p(3) such that p 1 = x(2) + y(2) + 1. This result constitutes a refinement upon that of Dimitrov (Ramanujan J 59:571-607, 2022).
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收藏
页码：38 / 38
页数：1
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