A NOTE ON THE DISTRIBUTION FUNCTION OF φ(p-1)/(p-1)

被引：3

作者：

Deshouillers, Jean-Marc ^{[1
,2
]}

Hassani, Mehdi ^{[3
]}

机构：

[1] Univ Bordeaux, Inst Math Bordeaux, UMR 5251, F-33405 Talence, France

[2] CNRS, F-33405 Talence, France

[3] Univ Zanjan, Dept Math, Zanjan 4537138791, Iran

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 93卷 / 1-2期

关键词：

distribution function; Euler totient function; shifted primes;

D O I：

10.1017/S1446788712000250

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the differentiability of the limiting distribution function associated to the normalized Euler function defined on the shifted primes.

引用

页码：77 / 83

页数：7

共 50 条

[41] Determination of vitamin P-1 by chemiluminescence method
Jin, Seung Oh
Lee, Sang Hak
ANALYTICAL SCIENCE AND TECHNOLOGY, 2008, 21 (01): : 20 - 24
[42] WHERE ARE THE 1 P-1(1) STATES IN HEAVY QUARKONIA
STUBBE, J
MARTIN, A
PHYSICS LETTERS B, 1991, 271 (1-2) : 208 - 212
[43] A PACKING PAIR OF GRAPHS [(P,P-1), (P,P)] AND SLATER PROBLEMS
FANG, XG
WANG, M
KEXUE TONGBAO, 1988, 33 (16): : 1402 - 1403
[44] p-1阶均匀设计
蒋声
陈瑞琛
应用数学学报, 1993, (03) : 419 - 424
[45] Lifetime extension of cathodoluminescent P-1 phosphor
Schwoebel, PR
Pearson, EM
Lau, KH
Lowe, DM
Sanjurjo, A
ELECTROCHEMICAL AND SOLID STATE LETTERS, 1998, 1 (02) : 102 - 103
[46] Gradient estimates and Liouville type theorems for (p-1)p-1Δpu+aup-1logup-1=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(p-1)^{p-1}\Delta _pu+au^{p-1}\log u^{p-1}=0$$\end{document} on Riemannian manifolds
Bingqing Ma
Mingfang Zhu
Archiv der Mathematik, 2021, 117 (5) : 557 - 567
[47] COMPUTING THE CONICAL FUNCTION P-1/2+iτμ (x)
Gil, Amparo
Segura, Javier
Temme, Nico M.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2009, 31 (03): : 1716 - 1741
[48] NEW SOLUTIONS OF A(P-1)EQUIVALENT-TO-1 (MOD P(2))
MONTGOMERY, PL
MATHEMATICS OF COMPUTATION, 1993, 61 (203) : 361 - 363
[49] REALIZATION OF OF (P-1)-DIMENSIONAL REPRESENTATIONS OF PSL(2,P)
BOGE, S
ARCHIV DER MATHEMATIK, 1993, 60 (02) : 121 - 127
[50] NEAR-RESONANT ELECTRONIC-ENERGY TRANSFER TO NITRIC-OXIDE FROM CD P-1(1) AND ZN P-1(1)
BLICKENSDERFER, RP
FITZPATRICK, J
BRECKENRIDGE, WH
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1976, 172 (SEP3): : 125 - 125

← 1 2 3 4 5 →