Geometric Gamma Values and Zeta Values in Positive Characteristic

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题名:	Geometric Gamma Values and Zeta Values in Positive Characteristic
作者:	Chang,CY;Papanikolas,MA;Yu,J
贡献者:	數學系
日期:	2010
上传时间:	2012-03-27 18:22:49 (UTC+8)
出版者:	國立中央大學
摘要:	In analogy with values of the classical Euler Gamma-function at rational numbers and the Riemann zeta-function at positive integers, we consider Thakur's geometric Gamma-function evaluated at rational arguments and Carlitz zeta-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 Gamma-function and from the Euler-Carlitz relations and Frobenius p-th power relations of the zeta-function.
關聯:	INTERNATIONAL MATHEMATICS RESEARCH NOTICES
显示于类别:	[數學系] 期刊論文

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