Vorträge in der Woche 14.05.2012 bis 20.05.2012

Montag, 14.05.2012: Perturbation of zeros of the Selberg zeta-function

Roelof Bruggeman

I'll discuss results of M.Fraczek, D.Mayer and me concerning zeros of the Selberg zeta-function for Gamma 0(4), for a one-parameter family of characters. Computations of Fraczek show some remarkable features in the movement of those zeros as the character approaches the trivial character. This inspired us to look for analytical ways to describe this behavior. I'll show some of Fraczek's results and compare them with the asymptotic formulas that we could prove.