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

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BPS invariants from p-adic integrals

Multiplicity-free Representations of Algebraic Groups

Correlating long-term performance and aging behaviour of building integrated PV modules

Correspondence functors and duality

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

Interlocking modular microfluidic cooling substrates for future high energy physics experiments

Chromatin modules and their implication in genomic organization and gene regulation

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Long-term performance and reliability of silicon heterojunction solar modules

Operating Temperatures and Diurnal Temperature Variations of Modules Installed in Open-Rack and Typical BIPV Configurations