Cover Image

Module lattices and their shortest vectors

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Gargava, Nihar, Serban, Vlad, Viazovska, Maryna, Viglino, Ilaria
Format:	Preprint
Published:	2025
Subjects:	Number Theory Information Theory 11H06 (Primary) 11H50, 68R01, 94B75 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Effective module lattices and their shortest vectors
by: Gargava, Nihar, et al.
Published: (2024)

Integral Matrices of Fixed Rank over Number Fields
by: Gargava, Nihar, et al.
Published: (2025)

Moments of the number of points in a bounded set for number field lattices
by: Gargava, Nihar, et al.
Published: (2023)

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

A New Lower Bound in the $abc$ Conjecture
by: Bright, Curtis
Published: (2023)

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

Bounds on Successive Minima of Orders in Number Fields and Scrollar Invariants of Curves
by: Vemulapalli, Sameera
Published: (2022)

Diophantine avoidance and small-height primitive elements in ideals of number fields
by: Fukshansky, Lenny, et al.
Published: (2023)

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

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

Normal bases of small height in Galois number fields
by: Fukshansky, Lenny, et al.
Published: (2026)

On lattices generated by algebraic conjugates of prime degree
by: Fukshansky, Lenny, et al.
Published: (2025)

Gross lattices of supersingular elliptic curves
by: He, Chenfeng, et al.
Published: (2025)

Density of Visible Lattice Points on Hyperplanes and their Intersections
by: Goss, Finnley, et al.
Published: (2026)

Constructing Displacement Vectors
by: Agin, Alon
Published: (2023)

Fine-grained deterministic hardness of the shortest vector problem
by: Hittmeir, Markus
Published: (2025)

Algebraic approximations to linear combinations of S-units
by: Nair, Parvathi S, et al.
Published: (2025)

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

Average hardness of SIVP for module lattices of fixed rank
by: de Boer, Koen, et al.
Published: (2025)

Covering lattice points by subspaces
by: Bárány, Imre, et al.
Published: (2001)

Upper Bounds on Polynomial Root Separation
by: Knapp, Greg, et al.
Published: (2024)

On the Northcott property for infinite extensions
by: Widmer, Martin
Published: (2023)

On the rational approximation to linear combinations of powers
by: Kumar, Veekesh, et al.
Published: (2025)

Small integral generators of totally complex number fields
by: Akhtari, Shabnam, et al.
Published: (2023)

Universal quadratic forms and Northcott property of infinite number fields
by: Daans, Nicolas, et al.
Published: (2023)

Unconditional Density Bounds for Quadratic Norm-Form Energies via Lorentzian Spectral Weights
by: Shiller, Peter
Published: (2026)

Bass Note Spectra of Binary Forms
by: Kotsovolis, Giorgos
Published: (2024)

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

Support-sensitive bounds for shortest zero-sum subsequences
by: Pop, Claudiu, et al.
Published: (2025)

On Diophantine properties for values of Dedekind zeta functions
by: Caro, Jerson, et al.
Published: (2025)

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

On a new absolute version of Siegel's lemma
by: Forst, Maxwell, et al.
Published: (2023)

A short remark on the $\ell$-torsion part of class groups
by: Widmer, Martin
Published: (2026)

Lifting all elements in $\mathrm{SL}_n(\mathbb{Z}/q\mathbb{Z})$
by: Kamber, Amitay, et al.
Published: (2023)

The Spectrum of $\mathbb{Q}$-Isotropic Binary Quadratic Forms
by: Kotsovolis, Giorgos
Published: (2024)

The Mahler measure of a family of polynomials with arbitrarily many variables
by: Nair, Siva Sankar
Published: (2023)

$p$-adic equidistribution and an application to $S$-units
by: Schefer, Gerold
Published: (2024)

Random walks through the areal Mahler measure: steps in the complex plane
by: Lalín, Matilde N., et al.
Published: (2025)

A Number Field Analogue of Ramanujan's identity for $ζ(2m+1)$
by: Bansal, Diksha Rani, et al.
Published: (2024)

The smallest denominator not contained in a unit fraction decomposition of $1$ with fixed length
by: van Doorn, Wouter, et al.
Published: (2025)