PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Special values of Goss L-functions and log-algebraicity
Seminar:Algebra and Number Theory Seminar
Speaker:Matt Papanikolas, University of Texas
Abstract:
We will consider special values of Goss L-functions for Dirichlet characters at positive integers, which take values in the completion of the rational function field in one variable over a finite field. Building on work of Anderson for the case of L(1,chi), we will deduce various power series identities on tensor powers of the Carlitz module that are "log-algebraic" and in turn use these formulas to access values L(n,chi) for arbitrary n > 0. Moreover, we will relate these L-series values to powers of the Carlitz period and values of Carlitz polylogarithms at algebraic points.

Room Reservation Information

Room Number:MB106
Date:10 / 29 / 2009
Time:11:15am - 12:05pm