Theta constants identities for Jacobians of cyclic 3-sheeted covers of the sphere and representations of the symmetric group
| dc.creator | Kopeliovich, Yaacov | |
| dc.date | 2007-04-08 | |
| dc.date.accessioned | 2026-07-07T07:55:42Z | |
| dc.date.available | 2026-07-07T07:55:42Z | |
| dc.description | We find identities between theta constants with rational characteristics evaluated at period matrix of $R,$ a cyclic 3 sheeted cover of the sphere with $3k$ branch points $λ_1...λ_{3k}.$ These identities follow from Thomae formula \cite{BR}. This formula expresses powers of theta constants as polynomials in $λ_1...λ_{3k}.$ We apply the representation of the symmetric group to find relations between the polynomials and hence between the associated theta constants. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0704.1032 | |
| dc.identifier | http://arxiv.org/abs/0704.1032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127060 | |
| dc.subject | Complex Variables | |
| dc.subject | 33C70 | |
| dc.title | Theta constants identities for Jacobians of cyclic 3-sheeted covers of the sphere and representations of the symmetric group | |
| dc.type | text |