Distribution of q-additive functions on the set of primes

被引：0

作者：

I. Kátai

机构：

[1] Eōtvōos Loránd University,Department of Computer Algebra

来源：

Lithuanian Mathematical Journal | 2007年 / 47卷

关键词：

-ary expansions; -multiplicative functions on primes; function classes;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We characterize the q-multiplicative functions which belong to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{L}^\alpha $$ \end{document} or \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $$\mathcal{L}^* $$ \end{document} = the set of uniformly summable functions on the set of primes.

引用

页码：24 / 31

页数：7

共 9 条

[1]

Erdős P.(1946)On the distribution function of additive functions Ann. of Math. 47 1-20

[2]

Kátai I.(1986)Distribution of digits of primes in Acta Math. Hungar. 47 341-359

[3]

Erdős P.(1948)-ary canonical forms Indag. Math. 10 370-378

[4]

Turán P.(1980)On a problem in the theory of uniform distribution I. Math. Z. 172 255-271

[5]

Indlekofer K.-H.(2002)A mean value theorem for multiplicative functions Publ. Math. Debrecen 61 393-402

[6]

Indlekofer K.-H.(1989)On Proc. London Math. Soc. 53 209-289

[7]

Kátai I.(undefined)-multiplicative functions undefined undefined undefined-undefined

[8]

Lee Y.-W.(undefined)Additive and multiplicative functions on shifted primes undefined undefined undefined-undefined

[9]

Hildebrand A.(undefined)undefined undefined undefined undefined-undefined

← 1 →