England, M. (2010) Higher genus Abelian functions associated with cyclic trigonal curves. Symmetry, Integrability and Geometry: Methods and Applications, 6(025), (doi: 10.3842/SIGMA.2010.025)
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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.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | England, Dr Matthew |
| Authors: | England, M. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Symmetry, Integrability and Geometry: Methods and Applications |
| Journal Abbr.: | SIGMA |
| ISSN (Online): | 1815-0659 |
| Published Online: | 24 March 2010 |
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