Publications associées à Unimodular lattice

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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

Unimodular lattice

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

Single-Mode Laser in the Telecom Range by Deterministic Amplification of the Topological Interface Mode

Computer-assisted proof of kernel inequalities

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

Phase of Topological Lattice with Leaky Guided Mode Resonance

Direct high-temperature growth of single-crystalline GaN on ScAlMgO4 substrates by metalorganic chemical vapor deposition

Almost impossible E_8 and Leech lattices

Vital role of magnetocrystalline anisotropy in cubic chiral skyrmion hosts

Automorphisms of even unimodular lattices and equivariant Witt groups

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

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

Direct high-temperature growth of single-crystalline GaN on ScAlMgO4 substrates by metalorganic chemical vapor deposition

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

Automorphisms of even unimodular lattices and equivariant Witt groups

Vital role of magnetocrystalline anisotropy in cubic chiral skyrmion hosts

Almost impossible E_8 and Leech lattices

Single-Mode Laser in the Telecom Range by Deterministic Amplification of the Topological Interface Mode

Computer-assisted proof of kernel inequalities

Phase of Topological Lattice with Leaky Guided Mode Resonance