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.