paper

On A Limiting Relation Between Ramanujan's Entire Function And -Function

arXiv:math/0606782

Abstract

We will use a discrete analogue of the classical Laplace method to show that the main term of the asymptotic expansions of certain entire functions, including Ramanujan's entire function , can be expressed in terms of -functions.

15 pages

On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $θ$-Function · wovepaper