Abelian functions satisfy an Algebraic Addition Theorem

1998/06/13 by Mark B. Villarino, Villarino, Mark B.
Mathematics · #32J10 #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Complex Variables (math.CV) #FOS: Mathematics #Mathematical and Theoretical Analysis #math.CV #msc:32J10

paper · pdf · doi:10.48550/arxiv.math/9806077

2 pages, Latex2e

arxiv created 1998/06/13 · openalex publication_date 1998/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that n independent abelian functions admit an algebraic addition theorem, with no appeal to theta functions.

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