The number of points from a random lattice that lie inside a ball
(English)Manuscript (preprint) (Other academic)
We prove a sharp bound for the remainder term of the number of lattice points inside a ball, when averaging over a compact set of not necessarily unimodular) lattices, in dimensions two and three. We also prove that such a bound cannot hold if one averages over the space of all lattices.
geometry of numbers, lattices
Research subject Mathematics
IdentifiersURN: urn:nbn:se:kth:diva-177287OAI: oai:DiVA.org:kth-177287DiVA: diva2:872108
FunderSwedish Research Council
QC 201602142015-11-172015-11-172016-02-14Bibliographically approved