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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

Module sur un anneau

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

Multiplicity-free Representations of Algebraic Groups

Towards Motion Forecasting with Real-World Perception Inputs: Are End-to-End Approaches Competitive?

Correspondence functors and duality

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

Cohomology in singular blocks of parabolic category O

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

Implementation of the ISORROPIA-lite aerosol thermodynamics model into the EMAC chemistry climate model (based on MESSy v2.55): implications for aerosol composition and acidity

Memento Mori: Reliable robustness in self-reconfigurable modular robots

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Interlocking modular microfluidic cooling substrates for future high energy physics experiments