Algebraic differential equations with functional coefficients concerning zeta and Gamma

作者：Li Bao Qin^*; Ye Zhuan

来源：Journal of Differential Equations, 2016, 260(2): 1456-1464.

DOI：10.1016/j.jde.2015.09.035

• Riemann zeta function
• The Euler gamma function
• Polynomial
• Algebraic differential equation

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.

• 出版日期2016-1-15