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Keller properties for integer tilings (Q6671579)

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scientific article; zbMATH DE number 7975064

Language	Label	Description	Also known as
English	Keller properties for integer tilings	scientific article; zbMATH DE number 7975064

Statements

scholarly article

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Keller properties for integer tilings (English)

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Benjamin B. Bruce

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The Electronic Journal of Combinatorics

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publication date

27 January 2025

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MaRDI profile type

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Divisibility of integer polynomials and tilings of the integers

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The resolution of Keller's conjecture

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Tiling the integers with translates of one finite set

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Über die lückenlose Erfüllung des Raumes mit Würfeln.

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On the discrete Fuglede and Pompeiu problems

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Translational tilings of the integers with long periods

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Combinatorial and harmonic-analytic methods for integer tilings

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The Coven-Meyerowitz tiling conditions for 3 odd prime factors

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Keller’s cube-tiling conjecture is false in high dimensions

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Universal spectra and Tijdeman's conjecture on factorization of cyclic groups

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On vanishing sums of roots of unity.

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On the structure of cube tilings and unextendible systems of cubes in low dimensions

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Keller's conjecture on the existence of columns in cube tilings of \(\mathbb R^n\)

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A cube tiling of dimension eight with no facesharing

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On the structure of spectral and tiling subsets of cyclic groups

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On linear relations between roots of unity

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Tesselation of integers

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Über lückenlose Ausfüllung des \(n\)-dimensionalen Raumes durch kongruente Würfel

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Über lückenlose Ausfüllung des \(n\)-dimensionalen Raumes durch kongruente Würfel. I, II.

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The Number of Intersection Points Made by the Diagonals of a Regular Polygon

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Über das Kreisteilungspolynom

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Natürliche Basen des Kreisteilungskörpers. I

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On Keller's conjecture for certain cyclic groups

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On a conjecture of G. Hajós

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A note on the cyclotomic polynomial

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Fuglede's conjecture holds on cyclic groups $\mathbb{Z}_{pqr}$

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Minimal vanishing sums of roots of unity with large coefficients

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Tilings of the integers can have superpolynomial periods

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A type of factorization of finite Abelian groups

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A reduction of Keller's conjecture

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6671579

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