机构:
Brigham Young Univ, Dept Math, Provo, UT 84602 USABrigham Young Univ, Dept Math, Provo, UT 84602 USA
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.
机构:
Univ Wisconsin, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USAUniv Wisconsin, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USA
Das, Tushar
Fishman, Lior
论文数: 0引用数: 0
h-index: 0
机构:
Univ North Texas, Dept Math, 1155 Union Circle 311430, Denton, TX 76203 USAUniv Wisconsin, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USA
Fishman, Lior
Simmons, David
论文数: 0引用数: 0
h-index: 0
机构:
Univ York, Dept Math, York YO10 5DD, N Yorkshire, EnglandUniv Wisconsin, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USA
Simmons, David
Urbanski, Mariusz
论文数: 0引用数: 0
h-index: 0
机构:
Univ North Texas, Dept Math, 1155 Union Circle 311430, Denton, TX 76203 USAUniv Wisconsin, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USA