Skip to main content
SpringerLink
Log in

Mean-Value Theorems for Multiplicative Functions on Additive Arithmetic Semigroups via Halász’s Method

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. University of Illinois, Urbana, IL, USA and University of The West Indies, Mona, Jamaica, , , , , , JM

    Wen-Bin Zhang

Authors
  1. Wen-Bin Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received October 18, 2001; in final form April 11, 2002

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, WB. Mean-Value Theorems for Multiplicative Functions on Additive Arithmetic Semigroups via Halász’s Method. Monatsh. Math. 138, 319–353 (2003). https://doi.org/10.1007/s00605-002-0503-2

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00605-002-0503-2

Search

Navigation