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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Géométrie euclidienne

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Laser-Induced Forward Transfer of Functional Microdevices

Patronage as Collaboration. Dante Bini’s Villas in Sardinia

Live Birth of a Healthy Child in a Couple with Identical mtDNA Carrying a Pathogenic c.471_477delTTTAAAAinsG Variant in the MOCS2 Gene

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Moments of the number of points in a bounded set for number field lattices

Comparing the Buckling Strength of Spherical Shells With Dimpled Versus Bumpy Defects