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MPI f. Mathematik, Bonn

Many interesting arithmetic functions such as class numbers, Fourier coefficients of modular forms, have a rather varying behavior that is only partially understood. However, often it is possible to determine some (possibly weighted) average for them. The approach is often to associate an L-series to the arithmetic quantity of interest and study whether this has an analytic continuation, study the location of its zeros and poles. Armed with this knowledge the Selberg-Delange method, for example, allows one then to determine the average. The most classical L-functions are the Riemann zeta function and Dirichlet L-series, that play a crucial rule in the study of primes, respectively primes in arithmetic progression. The conference has both more introductory as well as research talks on current topics in this direction. More highlighted themes are Artin's primitive root conjecture (where Dedekind zeta functions come into play) and Euler-Kronecker constants (related to logarithmic derivatives of L-series).

The aim of the conference is to bring together researchers working in various mathematical areas where modular forms play a key role. The conference takes place at the Bielefed University .

The summer school is about formulas of Siegel and Weil and its impact in the theory of sphere packings, number theory, and geometry. The summer school takes place at Bielefed University.

Kurse und Veranstaltungen für Studenten der Mathematik,    Geometrie und Topologie

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)