4 citations · 4 across the 5 of their papers we have counts for
5 papers
On Diophantine pairs and triples of triangular numbers
Marija Bliznac Trebješanin
We investigate Diophantine pairs and triples of triangular numbers with the property for a non-zero integer . We prove that if a triangular number belongs to a -pai…
Extensions of -pairs with
Marija Bliznac Trebješanin, Pavao Radić
We study the extensibility of -pairs , where and . Firstly, we show that it can be extended to a -triple with an element c,…
Thabit and Williams Numbers Base as a Sum or Difference of Two -Repdigits
Kouèssi Norbert Adédji, Marija Bliznac Trebješanin, Jelena Pleština
We investigate cases where Thabit and Williams numbers in base can be expressed as the sum or difference of two -repdigits. For specific values of and , we describe p…
On extensions of -triples by adjoining smaller elements
Marija Bliznac Trebješanin, Pavao Radić
This paper examines the problem of obtaining a -quadruple by adding a smaller element to a -triple. We prove some relations between elements of observed hypothetical $D…
Extension of a Diophantine triple with the property
Marija Bliznac Trebješanin
In this paper, we give an upper bound on the number of extensions of a triple to a quadruple for the Diophantine -tuples with the property . We also confirm the conjecture…