Number Theory Home | Number Theory Seminar | ArithmeTexas | Department Home

Texas A&M Number Theory Seminar

Department of Mathematics
Milner 216
Wednesdays, 1:45-2:45 PM

Chieh-Yu Chang

National Center for Theoretical Science, Taiwan

Wednesday, April 9, 2008

Milner 216, 1:45PM

Title: Determination of algebraic relations among special gamma values and zeta values in positive characteristic

Abstract: As analogue to the classical Euler gamma function at rational numbers and the Riemann zeta function at positive integers, we consider Thakur's geometric gamma function at rational functions and Carlitz zeta values at positive integers. We prove that among these special values put together, all the algebraic relations are those from the standard functional equations of the gamma function, the Euler-Carlitz relations and the Frobenius p-th power relations (joint work with Matthew A. Papanikolas and Jing Yu)