Cover Image

The lattice packing problem in dimension 9 by Voronoi's algorithm

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Sikirić, Mathieu Dutour, van Woerden, Wessel
Format:	Preprint
Published:	2025
Subjects:	Number Theory 11H31, 11H55, 05E18
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Positive values of non-homogeneous quadratic forms of type (1,4): A conjecture of Bambah, Dumir and Hans-Gill
by: Bhardwaj, Swati, et al.
Published: (2024)

Lifting problem for universal quadratic forms over totally real cubic number fields
by: Kim, Daejun, et al.
Published: (2023)

A Minimum Property for Cuboidal Lattice Sums
by: Cooper, Shaun, et al.
Published: (2025)

Unimodular lattices of rank 29 and related even genera of small determinant
by: Chenevier, Gaëtan, et al.
Published: (2026)

Locating a shortest vector in certain $2$-dimensional lattices
by: Zou, Guixian
Published: (2026)

Failures of integral Springer's Theorem
by: Daans, Nicolas, et al.
Published: (2024)

Theta series of ternary quadratic lattice cosets
by: Kane, Ben, et al.
Published: (2022)

Algebraic functions and class number formulas
by: Akkarapakam, Sushmanth J., et al.
Published: (2025)

An improved upper bound on the covering radius of the logarithmic lattice of $\mathbb{Q}(ζ_n)$
by: Punch, James
Published: (2025)

Constructions of lattices via biquadratic and triquadratic fields
by: Santos, L. F., et al.
Published: (2025)

Moduli of polarized Enriques surfaces -- computational aspects
by: Sikirić, Mathieu Dutour, et al.
Published: (2023)

Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers
by: Abdukhalikov, Kanat, et al.
Published: (2007)

Real quadratic fields with a universal quadratic form of given rank have density zero
by: Kala, Vitezslav, et al.
Published: (2023)

Unimodular Hunting II
by: Allombert, Bill, et al.
Published: (2024)

Binary quadratic forms: modern developments
by: Zeytin, Ayberk
Published: (2025)

Dense generic well-rounded lattices
by: Hollanti, Camilla, et al.
Published: (2021)

Mean Value for Random Ideal Lattices
by: Gargava, Nihar, et al.
Published: (2024)

Permutation Rational Functions over Quadratic Extensions of Finite Fields
by: Chen, Ruikai, et al.
Published: (2023)

Families of Equiangular Lines and Lattices
by: Martinet, Jacques
Published: (2024)

Unimodular Hunting
by: Chenevier, Gaëtan
Published: (2024)

A motivic circle method
by: Bilu, Margaret, et al.
Published: (2023)

A Design Criterion for the Rayleigh Fading Wiretap Channel Based on $\ell^1$-norm Theta Functions
by: Miller, Niklas
Published: (2024)

Ford Spheres in the Clifford-Bianchi Setting
by: Backman, Spencer, et al.
Published: (2024)

Universal quadratic forms and indecomposables in number fields: A survey
by: Kala, Vítězslav
Published: (2023)

On elements of prescribed norm in maximal orders of a quaternion algebra
by: Goren, Eyal Z., et al.
Published: (2023)

On periods of Elliptic curves
by: Salaza, Daniel Barrera, et al.
Published: (2026)

On Weierstrass semigroups of maximal Fermat function fields
by: Beelen, Peter, et al.
Published: (2026)

Geometric Properties of Periodic Lattices in Function Fields
by: Aranov, Noy Soffer
Published: (2025)

Geometry-of-numbers methods in the cusp
by: Shankar, Arul, et al.
Published: (2021)

Deep hole lattices and isogenies of elliptic curves
by: Fukshansky, Lenny, et al.
Published: (2023)

Integer continued fractions for complex numbers
by: O'Sullivan, Cormac
Published: (2025)

Most totally real fields do not have universal forms or Northcott property
by: Daans, Nicolas, et al.
Published: (2024)

Universal quadratic forms and Dedekind zeta functions
by: Kala, Vítězslav, et al.
Published: (2023)

Integral zeros of quadratic polynomials avoiding sublattices
by: Fukshansky, Lenny, et al.
Published: (2024)

Lattices of type $A_n$, $D_n$, $E_n$ and codes
by: Higa, Riku
Published: (2025)

Sporadic Cubic Torsion
by: Derickx, Maarten, et al.
Published: (2020)

The sup-norm problem for newforms of large level on $\operatorname{PGL}(n)$
by: Toma, Radu
Published: (2024)

On exceptionality of dimension three in terms of lattice angles
by: Yamamoto, Ken
Published: (2023)

On the $p$-adic values of the weight two Eisenstein series for supersingular primes
by: Guerzhoy, Pavel
Published: (2024)

Odd vanishing cycles in cyclotomic fields
by: Hertling, Claus, et al.
Published: (2025)