3 papers
math.NT2026
On some -triples and quadruples of triangular numbers
Pavao Radić
We classify all -triples of triangular numbers whose smallest element is or . We study the regularity of -triples of triangular numbers. We also sh…
math.NT2025
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,…
math.NT2023
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…