- Journal Article
Rights / licenseIn Copyright - Non-Commercial Use Permitted
Linnik proved in the late 1950’s the equidistribution of integer points on large spheres under a congruence condition. The congruence condition was lifted in 1988 by Duke (building on a break-through by Iwaniec) using completely different techniques. We conjecture that this equidistribution result also extends to the pairs consisting of a vector on the sphere and the shape of the lattice in its orthogonal complement. We use a joining result for higher rank diagonalizable actions to obtain this conjecture under an additional congruence condition. Show more
Journal / seriesInventiones mathematicae
Pages / Article No.
Organisational unit03826 - Einsiedler, Manfred L. / Einsiedler, Manfred L.
152819 - Equidistribution and dynamics on homogeneous spaces (SNF)
NotesIt was possible to publish this article open access thanks to a Swiss National Licence with the publisher.
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