Publication

Euclidean minima and central division algebras

Eva Bayer Fluckiger, Jérôme Chaubert
2009
Journal paper

Abstract

The notion of Euclidean minimum of a number field is a classical one. In this paper we generalize it to central division algebras and establish some general results in this new context.

Official source

https://infoscience.epfl.ch/record/168999?ln=en

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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

Euclidean minima and central division algebras

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Lattice packings through division algebras

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

Algebraic twists of GL(2) automorphic forms

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

Lattice packings through division algebras

Algebraic twists of GL(2) automorphic forms