Diophantine approximation with smooth numbers

被引：0
|
作者：
Baker, Roger [1 ]
机构：
[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA
来源：
RAMANUJAN JOURNAL | 2023年 / 61卷 / 01期
关键词：
Exponential sums; Smooth numbers; Distribution modulo one;
D O I：
10.1007/s11139-020-00361-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let theta be an irrational number and phi a real number. Let C > 2 and epsilon > 0. There are infinitely many positive integers n free of prime factors > (log n)(C), such that parallel to theta n + phi parallel to < n(-(1/3 - 2/3C)+epsilon). Here parallel to y parallel to is the distance from y to Z.
引用
收藏
页码：49 / 54
页数：6
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