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

经典分析与常微分方程 2007-05-23 v2 复变函数

摘要

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)A_{q}(z), can be expressed in terms of θ\theta-functions.

关键词

引用

@article{arxiv.math/0606782,
  title  = {On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $\theta$-Function},
  author = {Ruiming Zhang},
  journal= {arXiv preprint arXiv:math/0606782},
  year   = {2007}
}

备注

15 pages