Pregled bibliografske jedinice broj: 1157974
Rational D(q)-quintuples
Rational D(q)-quintuples // Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 116 (2022), 9, 18 doi:10.1007/s13398-021-01146-9 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1157974 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Rational D(q)-quintuples
Autori
Dražić, Goran
Izvornik
Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas (1578-7303) 116
(2022);
9, 18
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuples, D(q)-m-tuples, Elliptic Curves, Twists, Rank, Parity Conjecture
Sažetak
For a nonzero rational number q, a rational D(q)- n-tuple is a set of n distinct nonzero rationals {;a_1 , a_2 , . . . , a_n }; such that a_i*a_j + q is a square for all 1 ≤ i < j ≤ n. We investigate for which q there exist infinitely many rational D(q)-quintuples. We show that, assuming the Parity Conjecture for the twists of several explicitly given elliptic curves, the density of such q is at least 295026/296010 ≈ 99.5%.
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)
Ustanove:
Prehrambeno-biotehnološki fakultet, Zagreb
Profili:
Goran Dražić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
