On A Limiting Relation Between Ramanujan's Entire Function Aq(z) And θ-Function
Ruiming Zhang
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 Aq(z), can be expressed in terms of θ-functions.
Create a lesson
Related papers
Optimal fractional discrete Hardy inequalities on the half-line
František Štampach, Jakub Waclawek
Capacitary-Distance Hardy Inequality
Yiqun Chen, Jie Xiao, Dachun Yang et al.
Microstructure evolution as a game
Michael Ortiz
Optimal differentiability of isotropic positive definite functions on even-dimensional spheres
Yan Ge
Bilinear Bochner--Riesz Means on the Complex Sphere
S. Bagchi, Md N. Molla, J. Singh et al.
Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions
Wentao Huang, Haizhang Zhang