20 citations · 25 across the 10 of their papers we have counts for
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math.NT2017★ 1 cited
The extension of some D(4)-pairs
Alan Filipin
In this paper we illustrate the use of the results from [1] proving that -triple with has a unique extension to a quadruple with a larg…
math.NT2017
A polynomial variant of a problem of Diophantus and its consequences
Alan Filipin, Ana Jurasić
We prove that every Diophantine quadruple in is regular. More precisely, we prove that if is a set of four non-zero polynomials from $\mathbb{R}[X]…
math.NT2017★ 20 cited
Nonexistence of -quintuples
Marija Bliznac Trebješanin, Alan Filipin
In this paper we prove a conjecture that -quintuple does not exist using both classical and new methods. Also, we give a new version of the Rickert's theorem that can be appl…