Algebraic differential equations with functional coefficients concerning ζ and Γ

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• 作者：Bao Qin Li^a ; ^{libaoqin@fiu.edu" class="auth_mail" title="E-mail the corresponding author} ; Zhuan Ye^b ; ^{ye@math.niu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：34M15 ; 11M06 ; 33B15 ; 30D30
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：15 January 2016
• 年：2016
• 卷：260
• 期：2
• 页码：1456-1464
• 全文大小：218 K

文摘

We prove that the Riemann zeta function and the Euler gamma function cannot satisfy a class of algebraic differential equations with functional coefficients that are connected to the zeros of the Riemann zeta function on the critical line.