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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

The visible perimeter of an arrangement of disks

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Chattez avec Graph Search

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

Entrepreneurial Opportunities and Threats in the Era of Grand Societal Challenges

Euclid preparation XXX. Performance assessment of the NISP red grism through spectroscopic simulations for the wide and deep surveys

Results on Sparse Integer Programming and Geometric Independent Sets

Equivariant Neural Architectures for Representing and Generating Graphs

Rebooting Virtual Memory with Midgard

Permeability sets the linear path instability of buoyancy-driven disks

Removing algorithmic discrimination (with minimal individual error)

Removing Algorithmic Discrimination (With Minimal Individual Error)

Defects in III-N LEDs: experimental identification and impact on electro-optical characteristics

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

Euclid preparation XXX. Performance assessment of the NISP red grism through spectroscopic simulations for the wide and deep surveys

Entrepreneurial Opportunities and Threats in the Era of Grand Societal Challenges

Permeability sets the linear path instability of buoyancy-driven disks

Results on Sparse Integer Programming and Geometric Independent Sets

Rebooting Virtual Memory with Midgard

Equivariant Neural Architectures for Representing and Generating Graphs

Removing Algorithmic Discrimination (With Minimal Individual Error)

Removing algorithmic discrimination (with minimal individual error)

Defects in III-N LEDs: experimental identification and impact on electro-optical characteristics