A singular K3 surface related to sums of consecutive cubes, by Masato Kuwata and Jaap Top
We study the surface arising from the diophantine equation
$m^3+(m+1)^3+\dots+(m+k-1)^3=l^2$. It turns out that this is a $K3$
surface with Picard number 20. We stduy its aritmetic properties in
detail. We construct elliptic fibrations on it, and we find a
parametric solution to the original equation. Also, we determine the
Hasse-Weil zeta function of the surface over $Q$.
Masato Kuwata and Jaap Top <firstname.lastname@example.org>