MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

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Funded by The Danish National Research Foundation

Conference on

Number Theory and Spectral Theory

Friday December 3 - Saturday December 4, 1999

Auditorium G1, Department of Mathematical Sciences, University of Aarhus

This conference dealt with a broad spectrum of number theory, including transcendental numbers, modular forms, spectral theory and statistical analysis of the Riemann zeros. The conference was organized by Erik Balslev and Alexei Venkov, Aarhus.

The program consisted of the following 8 one-hour lectures:

Friday

9.30-10.30 Ahmed Sebbar (Bordeaux): Capacity, Jacobi forms and geodesics of the Bergman metric

10.45-11.45 Martin Huxley (Cardiff): Integer points in plane regions and exponential sums

13.30-14.30 Alexei Venkov (Aarhus): Exceptional Hecke operators for the groups $\Gamma_0(N)$ with primitive character

15.00-16.00 Gisbert Wüstholz (Zürich): Hypergeometric functions, special points on Shimura varieties and transcendence

Saturday

9.30-10.30 Uffe Haagerup (Odense): Random matrices and the distribution of zeros of the Riemann zeta function --- a survey of results of Odlyzko

10.45-11.45 Eric Opdam (Amsterdam): Spectral decomposition of Iwahori-Hecke algebras

14.00-15.00 Dieter Mayer (Clausthal): Transfer operators and period functions for subgroups of the modular group

15.30-16.30 Andreas Knauf (Erlangen): Number theory and statistical mechanics

More Information

• Program and list of registered participants: postscript-format | pdf-format

Do not hesitate to contact the MaPhySto secretariat (at maphysto@maphysto.dk) or the local organizers Erik Balslev and Alexei Venkov for more information.