PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Modular Relations, Functional Equations, and Equivalent Identities
Seminar:Algebra and Number Theory Seminar
Speaker:Bruce Berndt, University of Illinois at Urbana, Champaign
Abstract:
It is well known that the transformation formula (or modular relation) for the classical theta function and the functional equation of the Riemann zeta function are equivalent. For a slightly more general class of modular relations and functional equations, we consider various identities equivalent to them. For example, in this survey of such identities, we discuss Riesz sums, logarithmic sums, "perturbed" modular relations involving modified Bessel functions, Koshliakov's formula, and Guinand's formula.

Room Reservation Information

Room Number:MB106
Date:10 / 18 / 2007
Time:11:15am - 12:05pm