Contact: Jörn Steuding, Dept. Mathematics, Würzburg University, Am Hubland, D-97074 Würzburg, Germany | Tel.: +49 931 888-5008, steuding at mathematik.uni-wuerzburg.de

New Directions in the Theory of Universal Zeta- and L-Functions Number Theory --- Complex Analysis --- Measure and Probability Theory

New Directions in the Theory of
Universal Zeta- and L-Functions

October 6 to October 10, 2008

at the Department of Mathematics, Würzburg University, Germany

organized by Jörn & Rasa Steuding

This conference is financially supported by the W.H. Ruchti-Stiftung
and the DFG (Deutsche Forschungsgemeinschaft).

The conference is devoted to the value-distribution theory of zeta- and L-functions with an emphasis on limit theorems and universality and their applications.

The phenomenon of universality is a common phenomenon in analysis whenever limit processes are involved. However, the only explicit examples of universal objects in mathematics so far are given by zeta- and L-functions: in 1975, Voronin proved that any non-vanishing analytic function can be approximated uniformly by certain shifts of the Riemann zeta-function in the critical strip. In the meantime several significant extensions and generalizations of this remarkable theorem were found. Proofs of universality theorems for Dirichlet series involve methods and results from number theory, complex analysis, and often from probability theory resp. measure theory. Almost classic applications of universality theorems are functional independence (hypertranscendence) and criteria for the Riemann hypothesis (provided there are not too many zeros in the strip of universality). In the recent past interesting new classes of zeta- and L- functions were proved to be universal (e.g. L-functions to elliptic curves) and new applications to number theory were found (distribution of class numbers). Another aspect of the conference is to understand other types of universality (e.g. the classical examples of Fekete and Birkhoff) and how these match to the universality of zeta- and L-functions.

The conference will be hosted by the Faculty of Mathematics and Computer Science at Würzburg University. The venue will be the nearby Schönstattzentrum Marienhöhe.

Day of arrival is Sunday (October 5); registration is from 15:00 (3 p.m.). Day of departure is Saturday morning after breakfast (October 11); if you are planning to leave Friday afternoon or earlier, please inform us as soon as possible on account of room reservation.

We are planning to publish conference proceedings; details will be announced during the conference.

Thanks to the Ruchti-Stiftung and the DFG, limited financial support will be available. The distribution of the funds depends on the number of participants. Details will be communicated by email.

If needed, we can help on traveling to Würzburg. If you arrive by plane, the nearest airports are Frankfurt and Nuremberg. From each of these places it takes about one hour to go by train to Würzburg. Have a look at the traveling service of DEUTSCHE BAHN (including timetable and ticket prices). If there are any questions, please contact:

Jörn Steuding, Dept. Mathematics, Würzburg University, Am Hubland, D-97074 Würzburg, Germany; Tel.: +49 931 888-5008, steuding@mathematik.uni-wuerzburg.de.