English

On Those Analytic Functions of One Variable which possess an Algebraic Addition Theorem

History and Overview 2012-12-27 v1 Classical Analysis and ODEs

Abstract

This is a literal word-for-word translation from the German of the article by Paul Koebe which contains a proof of Weierstrass's famous theorem characterizing all analytic functions which possess an algebraic addition theorem.

Keywords

Cite

@article{arxiv.1212.6119,
  title  = {On Those Analytic Functions of One Variable which possess an Algebraic Addition Theorem},
  author = {Paul Koebe},
  journal= {arXiv preprint arXiv:1212.6119},
  year   = {2012}
}
R2 v1 2026-06-21T23:00:13.671Z