Publications associées à Treillis (ensemble ordonné)

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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

Treillis (ensemble ordonné)

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Some Mordell-Weil lattices and applications to sphere packings

Mean value theorems for collections of lattices with a prescribed group of symmetries

Geometric Considerations in Lattice Programming

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

Dense Packings via Lifts of Codes to Division Rings

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

The concept of axial weak twins

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

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

Mean value theorems for collections of lattices with a prescribed group of symmetries

Some Mordell-Weil lattices and applications to sphere packings

Dense Packings via Lifts of Codes to Division Rings

Adaptive Stochastic Variance Reduction for Non-convex Finite-Sum Minimization

On the Mordell-Weil lattice of y(2) = x(3) + bx plus t(3n+1) in characteristic 3

BLOOM: Bimodal Lattice One-out-of-Many Proofs and Applications

Geometric Considerations in Lattice Programming

Critical line of the triangular Ising antiferromagnet in a field from a C3-symmetric corner transfer matrix algorithm

The concept of axial weak twins