Random analytic functions are a fundamental object of study in modern complex analysis and probability theory. These functions, often defined through power series with random coefficients, exhibit ...

American Journal of Mathematics, Vol. 124, No. 1 (Feb., 2002), pp. 1-48 (48 pages) We consider zeta functions defined as Euler products of $W(p,p^{-s})$ over all ...

This project implements numerical algorithms for the computation of zeros of holomorphic as well as the zeros, poles and residues of meromorphic functions. It aspires to be a successor to and an ...

Abstract: Functions that are analytic over a complex plane are called entire functions. They may be viewed as generalizations of polynomials because they admit power series expansions that converge ...

ABSTRACT: In this paper we shall obtain some interesting extensions and generalizations of a well-known theorem due to Enestrom and Kakeya according to which all the zeros of a polynomial P(Z =αnZn+..

Abstract: In this paper, we survey our joint work on the point processes formed by the zeros of time-frequency transforms of Gaussian white noises [1], [2]. Unlike both references, we present the work ...

How and when did you join RIKEN? As I was finalizing my PhD thesis in 2016, I saw an ad saying that RIKEN wanted to hire pure mathematicians to become part of its interdisciplinary group. I’m a ...