Algebraic Independence of Gamma Values in Positive Characteristic
by
W. Dale Brownawell
Penn State University
Coauthors: Greg W. Anderson (University of Minnesota), Matthew A. Papanikolas (Penn State University)

D. Thakur's function field Gamma function enjoys many properties of the classical Euler Gamma function. An example is a precise analogue of the Deligne-Koblitz-Ogus product relations on classical Gamma values at rational points. We show that these known linear relations on pairs of power products of various Gamma values in fact account for all the algebraic relations among the values in the function field case.

Date received: March 15, 2000