Euler's Function in Residue Classes

被引:0
作者
Thomas Dence
Carl Pomerance
机构
[1] Ashland University,Department of Mathematics
[2] University of Georgia,Department of Mathematics
来源
The Ramanujan Journal | 1998年 / 2卷
关键词
Field Theory; Fourier Analysis; Number Theory; Asymptotic Formula; Residue Class;
D O I
暂无
中图分类号
学科分类号
摘要
We discuss the distribution of integers n with ϕ(n) in a particular residue class, showing that if a residue class contains a multiple of 4, then it must contain infinitely many numbers ϕ(n). We get asymptotic formulae for the distribution of ϕ(n) in the various residue classes modulo 12.
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页码:7 / 20
页数:13
相关论文
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[2]  
Dence J.B.(1995)A surprise regarding the equation ø( The College Math. J. 26 297-301
[3]  
Dence T.(1966)) = 2(6 Acta Arith. 12 269-279
[4]  
Narkiewicz W.(1956) + 1) Arch. der Math. 7 263-272
[5]  
Wirsing E.(undefined)On distribution of values of multiplicative functions in residue classes undefined undefined undefined-undefined