Wronskians and Linear Independence

2010/09/22 by Alin Bostan, Philippe Dumas · 3 citations
Mathematics · #Advanced Banach Space Theory #Advanced Differential Equations and Dynamical Systems #Calculus (dental) #Holomorphic and Operator Theory #Independence (probability theory) #Orthogonality #Simple (philosophy) #Wronskian #Zero (linguistics) #math.HO

paper · pdf · doi:10.4169/000298910x515785

published as American Mathematical Monthly 117, 8 (2010) 722-727

openalex publication_date 2010/09/22 · arxiv created 2013/01/24 · arxiv updated 2013/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We give a new and simple proof of the fact that a finite family of analytic functions has a zero Wronskian only if it is linearly dependent.

Citations

• The approximation to algebraic numbers by rationals

Cited by

• Bounded-degree factors of lacunary multivariate polynomials
• Factoring bivariate lacunary polynomials without heights
• Wronskian [wikipedia]

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