Article ID Journal Published Year Pages File Type
4594198 Journal of Number Theory 2012 18 Pages PDF
Abstract

In this article using the theory of Eisenstein series, we give the complete evaluation of two Gauss hypergeometric functions. Moreover we evaluate the modulus of each of these functions and the values of the functions in terms of the complete elliptic integral of the first kind K. As application we give way of how to evaluate the parameters in a closed-well posed form, of a general Ramanujan type 1/π formula. The result is a formula of 110 digits per term.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory