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Pregled bibliografske jedinice broj: 1052826

Construction of high rank elliptic curves

Dujella, Andrej; Peral, Juan Carlos
Construction of high rank elliptic curves // The Journal of geometric analysis, 31 (2021), 7; 6698-6724 doi:10.1007/s12220-020-00373-7 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1052826 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Construction of high rank elliptic curves

Autori
Dujella, Andrej ; Peral, Juan Carlos

Izvornik
The Journal of geometric analysis (1050-6926) 31 (2021), 7; 6698-6724

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

Ključne riječi
Elliptic curves, rank, torsion group, Diophantine triples

Sažetak
We list a number of strategies for construction of elliptic curves having high rank with special emphasis on those curves induced by Diophantine triples, in which we have contributedmore. These strategies have been developed by many authors. In particular we present a new example of a curve, induced by a Diophantine triple, with torsion Z/2Z × Z/4Z and with rank 9 over Q. This is the present record for this kind of curves.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-2018-01-1313 - Diofantska geometrija i primjene (DIOPHANT) (Kazalicki, Matija, HRZZ - 2018-01) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( 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 link.springer.com link.springer.com doi.org

Citiraj ovu publikaciju:

Dujella, Andrej; Peral, Juan Carlos
Construction of high rank elliptic curves // The Journal of geometric analysis, 31 (2021), 7; 6698-6724 doi:10.1007/s12220-020-00373-7 (međunarodna recenzija, članak, znanstveni)
Dujella, A. & Peral, J. (2021) Construction of high rank elliptic curves. The Journal of geometric analysis, 31 (7), 6698-6724 doi:10.1007/s12220-020-00373-7.
@article{article, author = {Dujella, Andrej and Peral, Juan Carlos}, year = {2021}, pages = {6698-6724}, DOI = {10.1007/s12220-020-00373-7}, keywords = {Elliptic curves, rank, torsion group, Diophantine triples}, journal = {The Journal of geometric analysis}, doi = {10.1007/s12220-020-00373-7}, volume = {31}, number = {7}, issn = {1050-6926}, title = {Construction of high rank elliptic curves}, keyword = {Elliptic curves, rank, torsion group, Diophantine triples} }
@article{article, author = {Dujella, Andrej and Peral, Juan Carlos}, year = {2021}, pages = {6698-6724}, DOI = {10.1007/s12220-020-00373-7}, keywords = {Elliptic curves, rank, torsion group, Diophantine triples}, journal = {The Journal of geometric analysis}, doi = {10.1007/s12220-020-00373-7}, volume = {31}, number = {7}, issn = {1050-6926}, title = {Construction of high rank elliptic curves}, keyword = {Elliptic curves, rank, torsion group, Diophantine triples} }

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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