Sander R. Dahmen

activity

20102025

most citedA refined modular approach to the Diophantine equation

x^{2} + y^{2 n} = z^{3}

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2025

On the generalized Fermat equation $x^{13} + y^{13} = z^{n}$

Alex J. Best, Sander R. Dahmen, Nuno Freitas

Let $n \in Z_{\geq 2}$ . We study the generalized Fermat equation \[x^{13}+y^{13}=z^n, \quad x,y,z \in \mathbb{Z}, \quad \gcd(x,y,z)=1.\] Using a combination of techniques,…

math.NT2023

Explicitly bounding perfect powers in elliptic divisibility sequences

Sander R. Dahmen, Joey M. van Langen

In this paper we consider elliptic divisibility sequences generated by a point on an elliptic curve over $Q$ with $j$ -invariant $1728$ given by an integral short Weierstra…

math.NT2010★ 2 cited

A refined modular approach to the Diophantine equation $x^{2} + y^{2 n} = z^{3}$

Sander R. Dahmen

Let $n$ be a positive integer and consider the Diophantine equation of generalized Fermat type $x^{2} + y^{2 n} = z^{3}$ in nonzero coprime integer unknowns $x, y, z$ . Using methods of modula…

On the generalized Fermat equation x13+y13=zn

Explicitly bounding perfect powers in elliptic divisibility sequences

A refined modular approach to the Diophantine equation x2+y2n=z3

On the generalized Fermat equation $x^{13} + y^{13} = z^{n}$

A refined modular approach to the Diophantine equation $x^{2} + y^{2 n} = z^{3}$