Asymptotic estimates for the number of Diophantine m-tuples (CROSBI ID 507346)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Dujella, Andrej
engleski
Asymptotic estimates for the number of Diophantine m-tuples
A set of m positive integers is called a Diophantine m-tuple if the product of any two of them is one less than a perfect square. It has been proved recently that there does not exist a Diophantine sextuple and that there are only finitely many Diophantine quintuples. On the other hand, there are infinitely many Diophantine m-tuples for m=2, 3 and 4. For example, the set {; ; k-1, k+1, 4k, 16k^3-4k}; ; is a Diophantine quadruple for k >= 2. In this talk, we will present asymptotic estimates for the numbers of Diophantine pairs, triples and quadruples with elements less than a given positive integer N.
Diophantine m-tuples
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Podaci o prilogu
26-26-x.
2005.
objavljeno
Podaci o matičnoj publikaciji
XXIV-iemes Journees Arithmetiques
Marseille: Universite de Provence
Podaci o skupu
Journees Arithmetiques 2005
predavanje
04.07.2005-08.07.2005
Marseille, Francuska