On multiplicative functions with mean-value close to −1 on primes
Journal of Number Theory
In , 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.
Maier, Helmut and Singh, Saurabh Kumar, "On multiplicative functions with mean-value close to −1 on primes" (2019). Journal Articles. 905.