Correlation functions of real zeros of random polynomials

TL;DR

This paper derives an explicit formula for the correlation functions of real zeros in random polynomials with independently distributed coefficients, advancing understanding of their statistical properties.

Contribution

It provides a novel explicit formula for correlation functions of real zeros in random polynomials with arbitrary independent continuous coefficients.

Findings

Explicit correlation function formula derived

Applicable to polynomials with arbitrary independent coefficients

Enhances understanding of zeros' statistical behavior

Abstract

We give an explicit formula for the correlation functions of real zeros of a random polynomial with arbitrary independent continuously distributed coefficients.