Around the Davenport-Heilbronn Function

Analysis Seminar
Topic:Around the Davenport-Heilbronn Function
Speaker:Enrico Bombieri
Affiliation:Professor Emeritus, School of Mathematics
Date:Thursday, November 10
Time/Room:3:00pm - 4:00pm/S-101
Video Link:https://video.ias.edu/analysis/davenport-hellbronn

The Davenport-Heilbronn function (introduced by Titchmarsh) is a linear combination of the two L-functions with a complex character mod 5, with a functional equation of L-function type but for which the analogue of the Riemann hypothesis fails. In this lecture, we study the Moebius inversion for functions of this type and show how its behavior is related to the distribution of zeros in the half-plane of absolute convergence. Work in collaboration with Amit Ghosh.