Solution of fifth-degree equations

In this paper we establish a relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite-Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series).

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Bibliographic Details
Published in:Russian mathematics 2009-06, Vol.53 (6), p.15-23
Main Author: Mikhalkin, E. N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:In this paper we establish a relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite-Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series).
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X09060036