A statement of Weierstrass on meromorphic functions which admit an algebraic addition theorem

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概要

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• A statement of Weierstrass is known for meromorphic functions which admit an algebraic addition theorem. We give its precise formulation and prove it complex analytically. In fact, we show that if K is a non-degenerate algebraic function field in n variables over \bm{C} which admits an algebraic addition theorem, then any f ∈ K is a rational function of some coordinate functions and abelian functions of other variables.

• 社団法人 日本数学会の論文
• 2005-07-01

著者

• Abe Yukitaka

  Departement De Mathematiques Universite De Toyama

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