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

Maryna Viazovska, Vlad Serban, Nihar Prakash Gargava

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

Faisceau (de modules)

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BPS invariants from p-adic integrals

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Long-term performance and reliability of silicon heterojunction solar modules

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

Correspondence functors and duality