A singular K3 surface related to sums of consecutive cubes

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dc.creatorKuwata, Masato
dc.creatorTop, Jaap
dc.date1999-10-22
dc.date.accessioned2026-07-07T05:31:23Z
dc.date.available2026-07-07T05:31:23Z
dc.descriptionWe study the surface arising from the diophantine equation $m^3+(m+1)^3+...+(m+k-1)^3=l^2$. 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 $Q$.
dc.identifierhttps://arxiv.org/abs/math/9910191
dc.identifierhttp://arxiv.org/abs/math/9910191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79322
dc.subjectNumber Theory
dc.titleA singular K3 surface related to sums of consecutive cubes
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