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

页码：49 / 54

页数：6

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