Pregled bibliografske jedinice broj: 1168283
The extension of the D(−k)-triple {;1, k, k + 1}; to a quadruple
The extension of the D(−k)-triple {;1, k, k + 1}; to a quadruple // Acta mathematica Hungarica, 166 (2022), 2; 407-422 (međunarodna recenzija, članak, znanstveni)
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Naslov
The extension of the D(−k)-triple {;1, k, k + 1}; to
a quadruple
Autori
Adedji, Norbert Kouessi ; Filipin, Alan ; Togbe, Alain
Izvornik
Acta mathematica Hungarica (0236-5294) 166
(2022), 2;
407-422
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Diophantine m-tuples ; Pellian equations ; hypergeometric method ; linear forms in logarithms of algebraic numbers
Sažetak
Let k be a positive integer. In [3], it is conjectured that if {; ; ; k, k + 1, c, d}; ; ; is a D(−k)- quadruple with c < d, then c=1 and d=4k+1, in which case 3k+1 must be a square. In this paper, we confirm the above conjecture for k of the form k=l^2−1, where l is a positive integer such that l≥3.
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:
Građevinski fakultet, Zagreb
Profili:
Alan Filipin
(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
