Title: Counting linear recurrence sequences with zeros and solvable S-unit equations

Abstract: In this talk I will discuss recent joint work with Carl Pomerance and Igor Shparlinski where we obtain a tight upper bound on the number of integer linear recurrence sequences which attain a zero value. The argument is based on modular techniques combined with a classical idea of P. Erdos. Using similar ideas, we also show that only a rather small proportion of linear equations are solvable in elements of a fixed finitely generated subgroup of a multiplicative group of a number field.

Alte Universität - Seminarraum -201