A FAMILY OF FUNCTIONS ASSOCIATED WITH THREE TERM RELATIONS AND EISENSTEIN SERIES

作者：Aygunes Aykut Ahmet^*

来源：Bulletin of the Korean Mathematical Society, 2016, 53(6): 1671-1683.

DOI：10.4134/BKMS.b150870

• three term relations
• period function
• Eisenstein series
• Riemann zeta function

In this paper, for a is an element of C, we investigate functions g(a), and psi(a) associated with three term relations. ga is defined by means of function psi(a). By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function g(a).

• 出版日期2016-11