Izvorni znanstveni članak
https://doi.org/10.21857/ygjwrcp48y
Triangular Diophantine tuples from {1, 2}
Alan Filipin
; Faculty of Civil Engineering, University of Zagreb, Kačićeva 26, 10 000 Zagreb, Croatia
László Szalay
; Institute of Informatics and Mathematics, University of Sopron, Bajcsy Zs. u. 4., Sopron 9400, Hungary Department of Mathematics, J. Selye University, Hradná str. 21, Komárno 945 01, Slovakia
Sažetak
In this paper, we prove that there does not exist a set of four positive integers {1, 2, c, d} such that a product of any two of them increased by 1 is a triangular number.
Ključne riječi
Diophantine m-tuples; Pell equations; linear forms in logarithms
Hrčak ID:
307485
URI
Datum izdavanja:
25.8.2023.
Posjeta: 247 *