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Canadian Number Theory Association X Meeting (CNTA X)
July 13-18, 2008
University of Waterloo
Waterloo, Ontario, Canada

Organizers
Kevin Hare (Waterloo, Wentang Kuo (Waterloo), Yu-Ru Liu (Waterloo), David McKinnon (Waterloo), Michael Rubinstein (Waterloo), Cam Stewart (Waterloo)

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Algebraic independence of special arithmetic gamma values
by
Chieh-Yu Chang
National Center for Theoretical Sciences, Taiwan
Coauthors: Matthew A. Papanikolas, Dinesh S. Thakur and Jing Yu

Given a polynomial ring over a finite field, we consider the special values of the arithmetic (Carlitz-Goss) gamma function at proper fractions. By relating some monomials of these special values to the periods and quasi-periods of certain Drinfeld module with complex multiplication, we prove the complete algebraic independence results. If time is permitted, we will discuss the algebraic independence of Carltiz zeta values at ödd" positive integers and these special arithmetic gamma values put together.

Date received: May 15, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawl-49.