Algebraic independence of arithmetic gamma values and Carlitz zeta values

作者：Chang Chieh Yu^*; Papanikolas Matthew A; Thakur Dinesh S; Yu Jing

来源：Advances in Mathematics, 2010, 223(4): 1137-1154.

DOI：10.1016/j.aim.2009.09.013

• Algebraic independence
• Gamma values
• Zeta values
• t-Motives

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.

• 出版日期2010-3-1
• 单位中央民族大学; 清华大学