Cover Image

On indecomposable elements in lattices

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fukshansky, Lenny, Kostopoulou, Filiana
Format:	Preprint
Published:	2026
Subjects:	Number Theory Metric Geometry 11H06, 11R80, 52B20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On lattice illumination of smooth convex bodies
by: Fukshansky, Lenny
Published: (2025)

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

Exact calculation of quantizer constants for arbitrary lattices
by: Pook-Kolb, Daniel, et al.
Published: (2022)

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

Euclidean lattices: theory and applications
by: Fukshansky, Lenny, et al.
Published: (2023)

The Voronoi Region of the Barnes-Wall Lattice $Λ_{16}$
by: Pook-Kolb, Daniel, et al.
Published: (2023)

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

The Legendre Transform of Convex Lattice Sets
by: He, Tingting, et al.
Published: (2024)

Planar lattices and equilateral odd-gons
by: Iino, Akira, et al.
Published: (2025)

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

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

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

Universality lifting from a general base field
by: Kala, Vitezslav, et al.
Published: (2024)

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

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

Circumscribed Circles in Integer Geometry
by: Karpenkov, Oleg, et al.
Published: (2024)

McShane-Rivin norm balls and simple-length multiplicities
by: Doan, Nhat Minh, et al.
Published: (2026)

Multidimensional integer trigonometry
by: Blackman, John, et al.
Published: (2023)

The volume polynomial of lattice polygons
by: Soprunov, Ivan, et al.
Published: (2024)

Bounded common fundamental domains for two lattices
by: Grepstad, Sigrid, et al.
Published: (2025)

Generalized Perfect Matrices
by: Oertel, Alexander, et al.
Published: (2026)

Bounded and measurable common fundamental domains for two lattices
by: Spyridakis, Emmanouil
Published: (2026)

Packing minima of convex bodies
by: Han, Mei, et al.
Published: (2026)

On the lattice Hadwiger number of superballs and some other bodies
by: Vlăduţ, Serge
Published: (2019)

Sails for universal quadratic forms
by: Kala, Vítězslav, et al.
Published: (2024)

Inseparable endomorphisms and rank-2 sublattices of the Gross lattice
by: Aubry, Yves, et al.
Published: (2026)

A geometric proof of Lagrange's theorem for continued fractions
by: Lukyanenko, Anton, et al.
Published: (2026)

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

Generalized angle vectors, geometric lattices, and flag-angles
by: Backman, Spencer, et al.
Published: (2018)

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

Equality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical Designs
by: Kominers, Scott Duke
Published: (2026)

Northcott property and universality of higher degree forms
by: Prakash, Om
Published: (2024)

Super-regular polytopes in cyclotomic hypercubes
by: Cobeli, Cristian, et al.
Published: (2024)

Topological and Diophantine properties of lattice subset projections
by: Lawton, Wayne M
Published: (2026)

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of $\mathbb{Q}$
by: Avci, Omer
Published: (2024)

A Sharp Reverse Minkowski Inequality for the Gaussian Mass of Integral Unimodular Lattices Through Rank $32$
by: Kominers, Scott Duke
Published: (2026)

Local Formulas for Ehrhart Coefficients from Lattice Tiles
by: Ring, Maren H., et al.
Published: (2017)

Eisenstein circle packings and the Eisenpint Schmidt arrangement
by: Rickards, James, et al.
Published: (2026)

Lattices with exponentially large kissing numbers
by: Vlăduţ, Serge
Published: (2018)

Odd quadratic orders and real $j$-invariants
by: Zarhin, Yuri G.
Published: (2024)