New York Number Theory Seminar
April 10, 2003, 3:30 PM in Room 5417
- Speaker:
- Sinai Robins, Temple University
- Title:
- Arithmetic progressions of coefficients from rational functions
and some spectral zeta functions
- Abstract:
- We define certain operators, called Hecke operators by
analogy with modular forms, that act on rational functions
in one variable. We study their spectra, and develop an
analogous theory of eigenfunctions to that of modular forms.
We then apply the theory to realize any finite Euler product
of the Riemann zeta function as the spectral function of
a related operator on tensor products of spaces of rational
functions.