ON THE MEAN-VALUE OF MULTIPLICATIVE FUNCTIONS

被引：4

作者：

ZHANG, WB ^{[1
]}

机构：

[1] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

来源：

JOURNAL OF NUMBER THEORY | 1995年 / 51卷 / 01期

关键词：

D O I：

10.1006/jnth.1995.1032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show a theorem which deduces the existence of the mean value [GRAPHICS] of a multiplicative arithmetic function f: N --> C under weaker conditions od Delange, Elliott, Daboussi, and Indlekofer. The theorem also applied cases which Heppner's theorem does not cover. (C) 1995 Academic Press, Inc.

引用

页码：1 / 15

页数：15

共 50 条

[1] MEAN-VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS
ELLIOTT, PDTA
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1975, 31 (NOV) : 418 - 438
[2] A MEAN-VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS
INDLEKOFER, KH
[J]. MATHEMATISCHE ZEITSCHRIFT, 1980, 172 (03) : 255 - 271
[3] ON WIRSING MEAN-VALUE THEOREM FOR MULTIPLICATIVE FUNCTIONS
HILDEBRAND, A
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1986, 18 : 147 - 152
[4] EFFECTIVE MEAN-VALUE ESTIMATES FOR COMPLEX MULTIPLICATIVE FUNCTIONS
HALL, RR
TENENBAUM, G
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1991, 110 : 337 - 351
[5] MEAN-VALUE RESULTS FOR GENERALIZED MULTIPLICATIVE ARITHMETIC FUNCTIONS
MULLIN, AA
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (04): : A423 - A423
[6] A Mean-Value Theorem for Multiplicative Functions on the Set of Shifted Primes
Karl-Heinz Indlekofer
Nikolai M. Timofeev
[J]. The Ramanujan Journal, 1998, 2 : 153 - 165
[7] A mean-value theorem for multiplicative functions on the set of shifted primes
Indlekofer, KH
Timofeev, NM
[J]. RAMANUJAN JOURNAL, 1998, 2 (1-2): : 153 - 165
[8] Mean-value theorems of multiplicative functions on additive arithmetic semigroups
Zhang, WB
[J]. MATHEMATISCHE ZEITSCHRIFT, 1998, 229 (02) : 195 - 233
[9] On multiplicative functions with mean-value one on the set of shifted primes
Indlekofer, KH
Timofeev, NM
[J]. ARCHIV DER MATHEMATIK, 2002, 78 (06) : 454 - 458
[10] On multiplicative functions with mean-value one on the set of shifted primes
K.-H. Indlekofer
N. M. Timofeev
[J]. Archiv der Mathematik, 2002, 78 : 454 - 458

← 1 2 3 4 5 →