Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Anatoli Andrianov
Affiliation:

Steklov Math. Inst./MPI
Date:

Wed, 16/06/2010 - 14:15 - 15:15 The problem of separation of prime numbers presentable as values of quadratic polynomials, for example, of primes having the form $n^2+1$, naturally leads to the question on Euler product factorization of zeta-functions corresponding to theta-series with harmonic coefficients. Two approaches to this question will be touched in the talk: one is based on the action of Hecke operators on harmonic theta-series and another is linked with interpretation of the zeta-functions, at least for certain binary quadratic forms, as L-functions of suitable quadratic rings with Hecke "Grossen" characters.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/246