Investigations in the theory of q-additive and q-multiplicative functions.: I

被引：13

作者：

Indlekofer, KH

Kátai, I

机构：

[1] Univ Paderborn, Fachbereich Math, D-33098 Paderborn, Germany

[2] Eotvos Lorand Univ, Comp Algebra Dept, H-1117 Budapest, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2001年 / 91卷 / 1-2期

关键词：

D O I：

10.1023/A:1010630810766

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The mean values of g(1)(a(1)n)...g(k)(a(k)n) are investigated where g(1),...,g(k) are q-multiplicative functions the absolute values of which are 1. Some applications are given.

引用

页码：53 / 78

页数：26

共 50 条

[31] Ergodic properties of q-multiplicative sequences
Lesigne, E
Mauduit, C
COMPOSITIO MATHEMATICA, 1996, 100 (02) : 131 - 169
[32] On the linear combination of q-additive functions at prime places
I. Kátai
Acta Mathematica Hungarica, 2007, 117 : 361 - 372
[33] On the well distribution of restricted strongly q-additive functions
Ben Mahfoudh, Lobna
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2022, 37 (02) : 173 - 183
[34] Group valued q-additive functions on polynomial values
Kátai, I
Subbarao, MV
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2001, 59 (1-2): : 35 - 43
[35] Waring's problem with restrictions on q-additive functions
Wagner, Stephan
MATHEMATICA SLOVACA, 2009, 59 (03) : 339 - 348
[36] CONCLUSION OF THE WORK ON CHARACTERIZATION OF GENERALIZED Q-ADDITIVE FUNCTIONS
FEHER, J
PUBLICATIONES MATHEMATICAE-DEBRECEN, 1986, 33 (3-4): : 219 - 225
[37] On the linear combination of q-additive functions at prime places
Katai, I.
ACTA MATHEMATICA HUNGARICA, 2007, 117 (04) : 361 - 372
[38] On q-multiplicative functions taking a fixed value on set of primes
K.-H. Indlekofer
I. Kátai
Periodica Mathematica Hungarica, 2001, 42 (1-2) : 45 - 50
[39] On the joint distribution of q-additive functions in residue classes
Kim, DH
JOURNAL OF NUMBER THEORY, 1999, 74 (02) : 307 - 336
[40] ERGODIC THEOREM ALONG A Q-MULTIPLICATIVE SEQUENCE
LESIGNE, E
MAUDUIT, C
MOSSE, B
COMPOSITIO MATHEMATICA, 1994, 93 (01) : 49 - 79

← 1 2 3 4 5 →