Mean-Value Theorems for Multiplicative Functions on Additive Arithmetic Semigroups via Halász’s Method |
| |
| Authors: | Wen-Bin Zhang |
| |
| Institution: | (1) University of Illinois, Urbana, IL, USA and University of The West Indies, Mona, Jamaica, JM |
| |
| Abstract: | We extend the mean-value theorems for multiplicative functions f on additive arithmetic semigroups, which satisfy the condition ∣f(a)∣≤1, to a wider class of multiplicative functions f for which ∣f(a)∣ is bounded in some average sense, via Halász’s method in classical probabilistic number theory.
Received October 18, 2001; in final form April 11, 2002 |
| |
| Keywords: | 2000 Mathematics Subject Classification: 11N45 11T55 11K65 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
