...ON NUMBER THEORY Hexis Phoenix, AZ 2005 EDITORS: ZHANG WENPENG DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY XI’AN, S... ...ersity, Yanan, Shaanxi, P. R. China. Copyright 2005 by Hexis and Zhang Wenpeng, Li Junzhuang, Liu Duansen, and all authors for their own ar... ...a Contents Dedication v Preface xi OntheSmarandachem thpowerresidues 1 ZhangWenpeng AnequationinvolvingEuler’sfunction 5 YiYuan OntheFunctionϕ(n)a... ...anditsmeanvalue 115 DuJianli Ontheadditivek thpowerpartresiduefunction 119 ZhangShengsheng Anarithmeticalfunctionandthek thpowercomplements 123 HuangW... ...ina for their great help in our successful conference. August 10, 2005 Zhang Wenpeng, Li Junzhuang, Liu Duansen ONTHESMARANDACHEM THPOWERRESID...

...LEMS IN NUMBER THEORY (Collected papers) Edited by ZHANG WENPENG Department of Mathematics Northwest University Xi’an, P. R... ...NUMBER THEORY (Collect ed papers) Edited by ZHANG WENPENG Department of Mathematics Northwest University Xi’an, P. R... ...00 036 , India. Copyright 200 4 by Hexis (Phoenix, USA) and Zhang Wenpeng, a nd A uthors . Many books one can download from the Di... ...n v Preface xi An arithmetic function and the primitive number of power 1 Zhang Wenpeng On the primitive numbers of power and -power roots 5 Yi Yuan... ... Wang Xiaoying An arithmetic function and the divisor product sequences 21 Zhang Tianping The Smarandache irrational root sieve sequences 27 Zhang Xia...