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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

Optimized scripting in Massive Open Online Courses

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Chattez avec Graph Search

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

The iReCheck project: using tablets and robots for personalised handwriting practice

Mechanisms underlying reinforcement learning of motor skills

Chromatin modules and their implication in genomic organization and gene regulation

Long-term performance and reliability of silicon heterojunction solar modules

Location is a major barrier for transferring US fossil fuel employment to green jobs

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

Detecting Latent Training Needs Using Large Datasets

Altered developmental trajectories of verbal learning skills in 22q11.2DS: associations with hippocampal development and psychosis

Engineering of Existing Structures: The Need and Place for Non-destructive Evaluation

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

Chromatin modules and their implication in genomic organization and gene regulation

Long-term performance and reliability of silicon heterojunction solar modules

Mechanisms underlying reinforcement learning of motor skills

Location is a major barrier for transferring US fossil fuel employment to green jobs

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

Engineering of Existing Structures: The Need and Place for Non-destructive Evaluation

Detecting Latent Training Needs Using Large Datasets

Altered developmental trajectories of verbal learning skills in 22q11.2DS: associations with hippocampal development and psychosis

The iReCheck project: using tablets and robots for personalised handwriting practice