Algebraic independence of arithmetic gamma values and Carlitz zeta values

Abstract

We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic independence results for them.

15 pages

References in corpus (4)

• Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms
• Determination of the algebraic relations among special Gamma-values in positive characteristic
• Algebraic relations among periods and logarithms of rank 2 Drinfeld modules
• Geometric Gamma values and zeta values in positive characteristic