On multiplicative functions with mean-value close to −1 on primes

Authors

Helmut Maier, Universität Ulm
Saurabh Kumar Singh, Universität Ulm

Article Type

Research Article

Publication Title

Journal of Number Theory

Abstract

In [5], the first author and A. Sankaranarayanan established an upper bound for the sum ∑n≤xf(n), where f(n) is a multiplicative function for which the sum ∑p∈If(p)p−it is small for certain intervals I. In this paper we consider functions f(p), for which |∑p∈If(p)p−it+∫I[Formula presented]du| is small.

First Page

89

Last Page

105

DOI

10.1016/j.jnt.2018.08.001

Publication Date

4-1-2019

Recommended Citation

Maier, Helmut and Singh, Saurabh Kumar, "On multiplicative functions with mean-value close to −1 on primes" (2019). Journal Articles. 905.
https://digitalcommons.isical.ac.in/journal-articles/905