The Library
Partial descent on hyperelliptic curves and the generalized Fermat equation x3+y4+z5=0
Tools
Tools
Tools
Siksek, Samir and Stoll, M. (2012) Partial descent on hyperelliptic curves and the generalized Fermat equation x3+y4+z5=0. Bulletin of the London Mathematical Society , Vol.44 (No.1). pp. 151-166. doi:10.1112/blms/bdr086 ISSN 0024-6093.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.1112/blms/bdr086
Abstract
Let C: y(2)=f(x) be a hyperelliptic curve defined over Q. Let K be a number field and suppose f factors over K as a product of irreducible polynomials f=f(1) f(2) ... f(r). We shall define a 'Selmer set' corresponding to this factorization with the property that if it is empty, then C(Q)=empty set. We shall demonstrate the effectiveness of our new method by solving the generalized Fermat equation with signature (3, 4, 5), which is unassailable via the previously existing methods.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Bulletin of the London Mathematical Society | ||||
| Publisher: | Oxford University Press | ||||
| ISSN: | 0024-6093 | ||||
| Official Date: | 2012 | ||||
| Dates: |
|
||||
| Volume: | Vol.44 | ||||
| Number: | No.1 | ||||
| Number of Pages: | 16 | ||||
| Page Range: | pp. 151-166 | ||||
| DOI: | 10.1112/blms/bdr086 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | EPSRC |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
