Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
Vernadsky National Library of Ukraine
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Title |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
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Creator |
England, M.
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Description |
We develop the theory of Abelian functions associated with cyclic trigonal curves by considering two new cases. We investigate curves of genus six and seven and consider whether it is the trigonal nature or the genus which dictates certain areas of the theory. We present solutions to the Jacobi inversion problem, sets of relations between the Abelian function, links to the Boussinesq equation and a new addition formula.
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Date |
2019-02-08T20:42:47Z
2019-02-08T20:42:47Z 2010 |
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Type |
Article
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Identifier |
Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves / M. England // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 15 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33E05; 14H40; 14H42 DOI:10.3842/SIGMA.2010.025 http://dspace.nbuv.gov.ua/handle/123456789/146320 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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