A New Compound Function and Its Mean Value

A New Compound Function and Its Mean Value

下载PDF

导出

摘要 The main purpose of this paper is using the analytic method to study the mean value properties of the arithmetical functions δk（（m, n））, δk（[m,n]/m）,and give several interesting asymptotic formulae for them.

作者 MA Jin-ping GE Jian

机构地区 School of Statistics

出处《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第2期312-316,共5页 数学季刊（英文版）

基金 Supported by NSF of China(10671155) Supported by SF of Education Department of Shannxi Province(08JK291)

关键词 arithmetic function mean value asymptotic formula 算术功能；吝啬的价值；asymptotic 公式；

分类号 O156.4 [理学—基础数学]

引文网络
相关文献

参考文献3

1SMARANDACHE F.Only Problems,not Solutions[M].Chicago:Xiquan Publ House,1993.
2PAN Cheng-dong,PAN Cheng-biao.Foundation of Analytic Number Theory[M].Beijing:Science Press,1997.
3TOM M Apostol.Introduction to Analytic Number Theory[M].New York:Springer-Verlag,1976.

1ZHANG TIAN-PING.Hybrid Mean Value of the Hyper Cochrane Sums[J].Communications in Mathematical Research,2009,25(4):329-339.
2GUO Jiajia,HUANG Jie,SONG Jirong,MIAO Kanghua,CAO Wenli.Three New Compounds Based on 4,4＇-Azo-l,2,4-triazol-5-one： Synthesis, Crystal Structure and Thermal Properties[J].Chemical Research in Chinese Universities,2016,32(5):812-817.
3Xiu Yuan YU.A Note on the Mean Value of Numbers of the Solutions of x~α=1(mod n)[J].Acta Mathematica Sinica,English Series,2004,20(6):1095-1102.
4喻小培,蹇明.MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS[J].Acta Mathematica Scientia,1995,15(4):468-473.
5Yaming LU.Mean Value of Kloosterman Sums over Short Intervals[J].Chinese Annals of Mathematics,Series B,2016,37(5):743-752.
6YU DanSheng1,2, ZHOU Ping2 & ZHOU SongPing1 1 Institute of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China 2 Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia, Canada, B2G 2W5.On the relations among best approximation and Fourier coeffcients[J].Science China Mathematics,2008,51(10):1883-1894. 被引量：1
7蔡天新.MEAN VALUE ESTIMATES ON A CLASS OF ARITHMETIC FUNCTION (Ⅱ)[J].Chinese Science Bulletin,1988,33(7):615-616.
8ZHOU SongPing,FENG FenJun,ZHANG LiJun.Trigonometric series with piecewise mean value bounded variation coefficients[J].Science China Mathematics,2013,56(8):1661-1677. 被引量：1
9Hu Guoen Institute of Information Engineering, China Department of Mathematics Institute of Information Engineering Zhengzhou, Henan, 450002..WEAK TYPE(1,1)BOUNDS FOR A MARCINKIEWICZ INTEGRAL[J].Analysis in Theory and Applications,1994,10(2):54-66.
10傅正民,李文秀.Phase transition, phase transition mechanism and crystal structure of a new compound-Ca_2FeWO_6[J].Science China Mathematics,1995,38(8):974-984. 被引量：1

Chinese Quarterly Journal of Mathematics

2010年第2期

浏览历史

内容加载中请稍等...

A New Compound Function and Its Mean Value

参考文献3

相关作者

相关机构

相关主题

浏览历史