Publications associées à On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

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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

On the number of lattice points in a small sphere and a recursive lattice decoding algorithm

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

Some Mordell-Weil lattices and applications to sphere packings

Transition to chaos in extended systems and their quantum impurity models

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

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

Efficient and Accurate Handling of Periodic Flows in Time-Sensitive Networks

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

Correspondence functors and duality

Nonlinear dynamics and Kerr frequency comb formation in lattices of coupled microresonators

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

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

Some Mordell-Weil lattices and applications to sphere packings

Efficient and Accurate Handling of Periodic Flows in Time-Sensitive Networks

Correspondence functors and duality

Nonlinear dynamics and Kerr frequency comb formation in lattices of coupled microresonators

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

Transition to chaos in extended systems and their quantum impurity models

Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets

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