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ON THE DIFFERENTIAL AND DIFFERENCE INDEPENDENCE OFΓANDζ

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摘要 In this paper,we study the algebraic differential and the difference independence between the Riemann zeta function and the Euler gamma function.It is proved that the Riemann zeta function and the Euler gamma function cannot satisfy a class of nontrivial algebraic differential equations and algebraic difference equations.
作者 陈玮 王琼 Wei CHEN;Qiong WANG(School of Sciences,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)
机构地区 School of Sciences
出处 《Acta Mathematica Scientia》 SCIE CSCD 2021年第2期505-516,共12页 数学物理学报(B辑英文版)
基金 supported by Basic and Advanced Research Project of CQ CSTC(cstc2019jcyj-msxmX0107) the Science and Technology Research Program of Chongqing Municipal Education Commission(KJQN202000621) Fundamental Research Funds of Chongqing University of Posts and Telecommunications(CQUPT:A2018-125)。
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