ASYMPTOTICS OF ERDŐS'S L 2 LAGRANGE INTERPOLATION PROBLEM: ARCSINE DISTRIBUTION AND AIRY ENDPOINT UNIVERSALITY

HAL (Le Centre pour la Communication Scientifique Directe) 2026 Preprint Open access

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Authors: Zeraoulia Rafik
DOI: 10.13140/rg.2.2.11709.93925
Cited by: 0

Abstract

The expansion in (iv) is conditional on an endpoint universality conjecture (Conjecture 5.1), whose rigorous proof remains an open problem. A complete verification would finalize the asymptotic solution of Erdős's interpolation extremal problem and establish a deeper connection to universality in random matrix theory.

Fields of Study & Subjects

Random Matrices and Applications Mathematical functions and polynomials Analytic Number Theory Research

Publication details

Journal / source
HAL (Le Centre pour la Communication Scientifique Directe)
Publication date
1 January 2026
Language
EN
Document type
Preprint