Searching for simultaneous arithmetic progressions on elliptic curves

We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.

Detalles Bibliográficos
Autores: García Selfa, Irene, Tornero Sánchez, José María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2005
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/41949
Acceso en línea:http://hdl.handle.net/11441/41949
https://doi.org/10.1017/S0004972700038429
Access Level:acceso abierto
Palabra clave:Elliptic curves
Arithmetic progressions
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spelling Searching for simultaneous arithmetic progressions on elliptic curvesGarcía Selfa, IreneTornero Sánchez, José MaríaElliptic curvesArithmetic progressionsWe look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.Junta de AndalucíaMinisterio de Ciencia y TecnologíaFondo Europeo de Desarrollo RegionalAustralian Mathematical SocietyÁlgebra2005info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/41949https://doi.org/10.1017/S0004972700038429reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésBulletin of the Australian Mathematical Society, 71 (3), 417-424.FQM 218BFM 2001–3207Saint Lucia (Quennsland)info:eu-repo/semantics/openAccessoai:idus.us.es:11441/419492026-06-17T12:51:07Z
dc.title.none.fl_str_mv Searching for simultaneous arithmetic progressions on elliptic curves
title Searching for simultaneous arithmetic progressions on elliptic curves
spellingShingle Searching for simultaneous arithmetic progressions on elliptic curves
García Selfa, Irene
Elliptic curves
Arithmetic progressions
title_short Searching for simultaneous arithmetic progressions on elliptic curves
title_full Searching for simultaneous arithmetic progressions on elliptic curves
title_fullStr Searching for simultaneous arithmetic progressions on elliptic curves
title_full_unstemmed Searching for simultaneous arithmetic progressions on elliptic curves
title_sort Searching for simultaneous arithmetic progressions on elliptic curves
dc.creator.none.fl_str_mv García Selfa, Irene
Tornero Sánchez, José María
author García Selfa, Irene
author_facet García Selfa, Irene
Tornero Sánchez, José María
author_role author
author2 Tornero Sánchez, José María
author2_role author
dc.contributor.none.fl_str_mv Álgebra
dc.subject.none.fl_str_mv Elliptic curves
Arithmetic progressions
topic Elliptic curves
Arithmetic progressions
description We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/41949
https://doi.org/10.1017/S0004972700038429
url http://hdl.handle.net/11441/41949
https://doi.org/10.1017/S0004972700038429
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Bulletin of the Australian Mathematical Society, 71 (3), 417-424.
FQM 218
BFM 2001–3207
Saint Lucia (Quennsland)
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Australian Mathematical Society
publisher.none.fl_str_mv Australian Mathematical Society
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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