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# 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)