Geometric Gamma Values and Zeta Values in Positive Characteristic uri icon

abstract

  • In analogy with values of the classical Euler -function at rational numbers and the Riemann -function at positive integers, we consider Thakur's geometric -function evaluated at rational arguments and Carlitz -values at positive integers. We prove that, when considered together, all of the algebraic relations among these special values arise from the standard functional equations of the -function and from the Euler-Carlitz relations and Frobenius p-th power relations of the -function. 2009 The Author.

published proceedings

  • INTERNATIONAL MATHEMATICS RESEARCH NOTICES

author list (cited authors)

  • Chang, C., Papanikolas, M. A., & Yu, J.

citation count

  • 1

complete list of authors

  • Chang, Chieh-Yu||Papanikolas, Matthew A||Yu, Jing

publication date

  • November 2010