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Pregled bibliografske jedinice broj: 722817

High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples

Dujella, Andrej; Peral, Juan Carlos
High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples // LMS Journal of Computation and Mathematics, 17 (2014), 1; 282-288 doi:10.1112/S1461157014000023 (međunarodna recenzija, članak, znanstveni)

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Naslov
High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples

Autori
Dujella, Andrej ; Peral, Juan Carlos

Izvornik
LMS Journal of Computation and Mathematics (1461-1570) 17 (2014), 1; 282-288

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
elliptic curves; diophantine triples; rank; torsion group

Sažetak
We construct an elliptic curve over the field of rational functions with torsion group Z/2Z × Z/4Z and rank equal to four, and an elliptic curve over Q with the same torsion group and rank nine. Both results improve previous records for ranks of curves of this torsion group. They are obtained by considering elliptic curves induced by Diophantine triples.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Andrej Dujella (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi journals.cambridge.org dx.doi.org

Citiraj ovu publikaciju:

Dujella, Andrej; Peral, Juan Carlos
High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples // LMS Journal of Computation and Mathematics, 17 (2014), 1; 282-288 doi:10.1112/S1461157014000023 (međunarodna recenzija, članak, znanstveni)
Dujella, A. & Peral, J. (2014) High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples. LMS Journal of Computation and Mathematics, 17 (1), 282-288 doi:10.1112/S1461157014000023.
@article{article, author = {Dujella, Andrej and Peral, Juan Carlos}, year = {2014}, pages = {282-288}, DOI = {10.1112/S1461157014000023}, keywords = {elliptic curves, diophantine triples, rank, torsion group}, journal = {LMS Journal of Computation and Mathematics}, doi = {10.1112/S1461157014000023}, volume = {17}, number = {1}, issn = {1461-1570}, title = {High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples}, keyword = {elliptic curves, diophantine triples, rank, torsion group} }
@article{article, author = {Dujella, Andrej and Peral, Juan Carlos}, year = {2014}, pages = {282-288}, DOI = {10.1112/S1461157014000023}, keywords = {elliptic curves, diophantine triples, rank, torsion group}, journal = {LMS Journal of Computation and Mathematics}, doi = {10.1112/S1461157014000023}, volume = {17}, number = {1}, issn = {1461-1570}, title = {High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples}, keyword = {elliptic curves, diophantine triples, rank, torsion group} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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