Multiplicatively defined sets with additive structure

Prof. Dr. Christian Elsholtz (Technische Universität Graz)

Dates and times

November 10, 10:15 - 12:00
November 13, 10:15 - 12:00
November 17, 10:15 - 12:00
November 20, 10:15 - 12:00

Place

HG G 19.1

Abstract

In this minicourse we examine which sets S of positive integers, typically defined in a multiplicative way, such as the set of squares or the set of primes, can be written as a sumset S=A+B. More generally, we study how large additive substructures (of this or of a generalized type) in multiplicatively defined sets can be. The methods involved will include methods from additive combinatorics and analytic number theory, such as sumset growth and the large sieve.