A generalization of Baker's quadratic formulae for hyperelliptic ℘-functions

Athorne, C. (2011) A generalization of Baker's quadratic formulae for hyperelliptic ℘-functions. Physics Letters A, 375(28-29), pp. 2689-2693. (doi:10.1016/j.physleta.2011.05.056)

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Abstract

We present a generalization of a compact form, due to Baker, for quadratic identities satisfied by the three-index Weierstrass ℘-functions on curves of genus g=2, and a further generalization of a new result in genus g=3. The compact forms involve a bordered determinant containing 2(g−1)(g+1) free parameters.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Athorne, Dr Chris
Authors: Athorne, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Physics Letters A
Publisher:Elsevier BV
ISSN:0375-9601
ISSN (Online):1873-2429
Published Online:31 May 2011

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