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On Uniform Approximations of Normal Distributions By Jacobi Theta Functions

Classical Analysis and ODEs 2018-10-22 v1

Abstract

In this short note we study uniform approximations to the normal distributions by Jacobi theta functions. We shall show that scaled theta functions approach to a normal distribution exponentially fast.

Keywords

Cite

@article{arxiv.1810.08535,
  title  = {On Uniform Approximations of Normal Distributions By Jacobi Theta Functions},
  author = {Ruiming Zhang},
  journal= {arXiv preprint arXiv:1810.08535},
  year   = {2018}
}

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6 pages