EUDML

Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Triangles with two integral sides.

Tengely, Szabolcs — 2007

Annales Mathematicae et Informaticae

Power values of sums of products of consecutive integers

Lajos Hajdu; Shanta Laishram; Szabolcs Tengely — 2016

Acta Arithmetica

We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.

Lucas sequences and repdigits

Hayder Raheem Hashim; Szabolcs Tengely — 2022

Mathematica Bohemica

Let ${(G_{n})}_{n \geq 1}$ be a binary linear recurrence sequence that is represented by the Lucas sequences of the first and second kind, which are ${U_{n}}$ and ${V_{n}}$ , respectively. We show that the Diophantine equation $G_{n} = B \cdot (g^{l m} - 1) / (g^{l} - 1)$ has only finitely many solutions in $n, m \in ℤ^{+}$ , where $g \geq 2$ , $l$ is even and $1 \leq B \leq g^{l} - 1$ . Furthermore, these solutions can be effectively determined by reducing such equation to biquadratic elliptic curves. Then, by a result of Baker (and its best improvement due to Hajdu and Herendi) related to the bounds of the integral points on...

Squares in products in arithmetic progression with at most one term omitted and common difference a prime power

Shanta Laishram; T. N. Shorey; Szabolcs Tengely — 2008

Acta Arithmetica

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 4 of 4

Triangles with two integral sides.

Power values of sums of products of consecutive integers

Lucas sequences and repdigits

Squares in products in arithmetic progression with at most one term omitted and common difference a prime power