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Quasi-Abelian function

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A generalization of an Abelian function. A meromorphic function , z=(z_1,\ldots,z_n), in the complex space \mathbf C^n, n>1, is called a quasi-Abelian function if it has m, 0<m\leq2n, linearly independent periods; in the case of Abelian functions m=2n. Quasi-Abelian functions can be regarded as a limiting case of Abelian functions when certain periods increase unboundedly.

References

[1] F. Severi, "Funzioni quasi abeliane" , Città del Vaticano (1947) Zbl 0041.48201
How to Cite This Entry:
Quasi-Abelian function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Quasi-Abelian_function&oldid=54746
This article was adapted from an original article by E.D. Solomentsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article