| ON THE DIFFERENTIAL AND DIFFERENCE INDEPENDENCE OFΓANDζ |
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| 引用本文： | 陈玮,王琼.ON THE DIFFERENTIAL AND DIFFERENCE INDEPENDENCE OFΓANDζ[J].数学物理学报(B辑英文版),2021(2):505-516. |
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| 作者姓名： | 陈玮 王琼 |
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| 作者单位： | School of Sciences |
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| 基金项目： | 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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| 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.
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| 关 键 词： | Algebraic differential equations difference equations the Euler gamma function the Riemann zeta function |
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