Geometric Gamma Values and Zeta Values in Positive Characteristic
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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.
International Mathematics Research Notices
author list (cited authors)
Chang, C. Y., Papanikolas, M. A., & Yu, J.
complete list of authors
Chang, CY||Papanikolas, MA||Yu, J