Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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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