Diophantine approximation with mixed powers of primes

被引：0
作者：
Fu, Linzhu [1 ]
Hu, Liqun [1 ]
Long, Xuan [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
RAMANUJAN JOURNAL | 2025年 / 66卷 / 04期
关键词：
Exceptional set; Sieve functions; Diophantine inequality; Prime; TERNARY QUADRATIC-FORMS; SQUARES; VALUES;
D O I：
10.1007/s11139-024-01010-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Assume that lambda(1),lambda(2),lambda(3) are non-zero real numbers, where lambda(1)/lambda(2) is an irrational number. Let V be a well-spaced sequence, and delta>0. For any given positive integer k >= 3, we give an upper bound of the number of upsilon is an element of V with upsilon <= X for which the inequality |lambda(1)p(1)+lambda(2)p(2)(2)+lambda(3)p(3)(k)-upsilon|<upsilon(-delta) has no solution in primes p(1), p(2), p(3).
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页数：16
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