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20082025
most citedSolving Optimization Problems through Fully Convolutional Networks: an Application to the Travelling Salesman Problem

24 citations

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6 papers · 1 filter

math.CA2018

On Uniform Approximations of Normal Distributions By Jacobi Theta Functions

Ruiming Zhang

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 distributio…

math.CA2016★ 4 cited

A Lauricella hypergeometric series over finite fields

Bing He

In this paper we introduce a finite field analogue of a Lauricella hypergeometric series. An integral formula for the Lauricella hypergeometric series and its finite field analogue…

math.CA2016

On zeros of some entire functions

Bing He

Let \begin{equation*} A_{q}^{(α)}(a;z) = \sum_{k=0}^{\infty} \frac{(a;q)_{k} q^{αk^2} z^k} {(q;q)_{k}}, \end{equation*} where In a paper of Ruiming Zhang, he asked un…

math.CA2016

On Certain Positive Semidefinite Matrices of Special Functions

Ruiming Zhang

Special functions are often defined as a Fourier or Laplace transform of a positive measure, and the positivity of the measure manifests as positive definiteness of certain matrice…

math.CA2015★ 2 cited

-Bessel Functions and Rogers-Ramanujan Type Identities

Mourad E. H. Ismail, Ruiming Zhang

We evaluate -Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the -version of the Rogers-R…

math.CA2008

On Zeros of Fourier Transforms

Ruiming Zhang

In this work we verify the sufficiency of a Jensen's necessary and sufficient condition for a class of genus 0 or 1 entire functions to have only real zeros. They are Fourier trans…