Algebraic differential equations with functional coefficients concerning ζ and Γ

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Li, Bao Qin¹  Ye, Zhuan² 

[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

[2] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

关键词: Riemann zeta function;    The Euler gamma function;    Polynomial;    Algebraic differential equation;   

DOI  :  10.1016/j.jde.2015.09.035

来源: Elsevier

【 摘 要 】

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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free