Pregled bibliografske jedinice broj: 1098248
On a special case of Watkins' conjecture
On a special case of Watkins' conjecture // Proceedings of the American Mathematical Society, 146 (2018), 541-545 doi:10.1090/proc/13759 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1098248 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On a special case of Watkins' conjecture
Autori
Kazalicki, Matija ; Kohen, Daniel
Izvornik
Proceedings of the American Mathematical Society (0002-9939) 146
(2018);
541-545
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
elliptic curves ; Watkins' conjecture
Sažetak
Watkins' conjecture asserts that for a rational elliptic curve E the degree of the modular parametrization is divisible by 2^r, where r is the rank of E. In this paper, we prove that if the modular degree is odd then E has rank 0. Moreover, we prove that the conjecture holds for all rank two rational elliptic curves of prime conductor and positive discriminant.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Matija Kazalicki
(autor)
Citiraj ovu publikaciju:
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
