Uniform Titchmarsh divisor problems

Abstract: The Titchmarsh divisor problem asks for an asymptotic evaluation of the average of the divisor function evaluated at shifted primes. We will discuss how strong error terms that are uniform in the shift parameters could be obtained using spectral theory of automorphic forms. We will also discuss the automorphic analogue of the Titchmarsh divisor problem. This is a joint work with E. Assing and V. Blome.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October