THE DISTRIBUTION OF SMOOTH NUMBERS IN ARITHMETIC PROGRESSIONS

被引：0
|
作者：
BALOG, A [1 ]
POMERANCE, C [1 ]
机构：
[1] UNIV GEORGIA,DEPT MATH,ATHENS,GA 30602
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 115卷 / 01期
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D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We estimate the number of integers n up to x in the arithmetic progression a (mod q) with n free of prime factors exceeding y . For a wide range of the variables x, y, q, and a we show that this number is about x/(qu(u)), where u = log x/log y.
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页码：33 / 43
页数：11
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