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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

Anneau local

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

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Correspondence functors and duality

Exploring SIDH-Based Signature Parameters

Automated mixing of maximally localized Wannier functions into target manifolds

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

2.4-angstrom structure of the double-ring Gemmatimonas phototrophica photosystem

Linear Complexity Self-Attention With 3rd Order Polynomials

On the Grothendieck-Serre conjecture for classical groups

Quantified Effects of Multiple Parameters on Inputs and Potential Sources of Microplastics from a Typical River Flowing into the Sea

Relative plus constructions

In flow acoustic characterisation of a 2D active liner with local and non local strategies.