An Infinite Two-Parameter Family of Diophantine Triples (CROSBI ID 256044)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Cipu, Mihai ; Filipin, Alan ; Fujita, Yasutsugu
engleski
An Infinite Two-Parameter Family of Diophantine Triples
In this paper, we study sets of positive integers with the property that the product of any two elements in the set increased by the unity is a square. It is shown that if the two smallest elements have the form KA^2, 4KA^4±4A for some positive integers A and K, and the third one is chosen canonically, then any such set consisting of three elements can be contained in a unique such set with four elements.
Diophantine m-tuples ; Pellian equations ; Linear forms in logarithms
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Podaci o izdanju
43 (1)
2020.
481-498
objavljeno
0126-6705
2180-4206
10.1007/s40840-018-0695-9