🔧На сайте запланированы технические работы
25.12.2025 в промежутке с 18:00 до 21:00 по Московскому времени (GMT+3) на сайте будут проводиться плановые технические работы. Возможны перебои с доступом к сайту. Приносим извинения за временные неудобства. Благодарим за понимание!
🔧Site maintenance is scheduled.
Scheduled maintenance will be performed on the site from 6:00 PM to 9:00 PM Moscow time (GMT+3) on December 25, 2025. Site access may be interrupted. We apologize for the inconvenience. Thank you for your understanding!

 

Correlation Functions of Real Zeros of Random Polynomials


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

An explicit formula for the correlation functions of real zeros of a random polynomial with arbitrary independent continuously distributed coefficients is derived.

About the authors

F. Götze

Bielefeld University

Author for correspondence.
Email: goetze@math.uni-bielefeld.de
Germany, Bielefeld

D. Kaliada

Institute of Mathematics, National Academy of Sciences of Belarus

Email: goetze@math.uni-bielefeld.de
Belarus, Minsk

D. Zaporozhets

St.Petersburg Department of the Steklov Mathematical Institute

Email: goetze@math.uni-bielefeld.de
Russian Federation, St.Petersburg

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature