A Proof of Stieltjes' Common-Root Conjecture for Legendre Polynomials: A 2-Adic Newton Polygon and Wronskian Method

Let $P_n$ denote the Legendre polynomial normalized by $P_n(1)=1$. We prove that, for all integers $0\leq m

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22234534
Primary Topic
Polynomial and algebraic computation
Type
preprint
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preprint

A Proof of Stieltjes' Common-Root Conjecture for Legendre Polynomials: A 2-Adic Newton Polygon and Wronskian Method

Zikang Deng
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

A Proof of Stieltjes' Common-Root Conjecture for Legendre Polynomials: A 2-Adic Newton Polygon and Wronskian Method

Zikang Deng
preprint en

Abstract

Let $P_n$ denote the Legendre polynomial normalized by $P_n(1)=1$. We prove that, for all integers $0\leq m

Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
DOIOpen Access PDFOpenAlex
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