M. Ulas

most citedRational points on certain hyperelliptic curves over finite fields

6 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2008

On certain diophantine equations related to triangular and tetrahedral numbers

Maciej Ulas

In this paper we give solutions of certain diophantine equations related to triangular and tetrahedral numbers and propose several problems connected with these numbers. The materi…

math.NT2008

A note on Sierpiński problem related to triangular numbers

Maciej Ulas

In this note we show that the system of equations t_{x}+t_{y}=t_{p},\quad t_{y}+t_{z}=t_{q},\quad t_{x}+t_{z}=t_{r}, where $t_{x} = x (x + 1) /2$ is a triangular number, has infinitely m…

math.NT2007★ 6 cited

Rational points on certain hyperelliptic curves over finite fields

Maciej Ulas

Let $K$ be a field, $a, b \in K$ and $ab \neq = 0$ . Let us consider the polynomials $g_{1} (x) = x^{n} + a x + b, g_{2} (x) = x^{n} + a x^{2} + b x$ , where $n$ is a fixed positive integer. In this paper we s…

math.NT2007

On arithmetic progressions on genus two curves

Maciej Ulas

We study arithmetic progression in the $x$ -coordinate of rational points on genus two curves. As we know, there are two models for the curve $C$ of genus two: $C : y^{2} = f_{5} (x)$ or…