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Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

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dc.contributor.author England, M.
dc.date.accessioned 2019-02-08T20:42:47Z
dc.date.available 2019-02-08T20:42:47Z
dc.date.issued 2010
dc.identifier.citation 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. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 33E05; 14H40; 14H42
dc.identifier.other DOI:10.3842/SIGMA.2010.025
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/146320
dc.description.abstract 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. uk_UA
dc.description.sponsorship This paper is a contribution to the Proceedings of the Eighth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21–27, 2009, Kyiv, Ukraine). The full collection is available at http://www.emis.de/journals/SIGMA/symmetry2009.html. Many thanks to Professor Chris Eilbeck for useful conversations. Thanks also to the three anonymous referees who gave constructive and useful comments. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA


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