Crystallographic Groups, Strictly Tessellating Polytopes, and Analytic Eigenfunctions

DOI10.1080/00029890.2021.1890498zbMath1475.20085arXiv2012.03288OpenAlexW3111912434MaRDI QIDQ4988266

Henrik Nordell, Max Blom, Julie Rowlett, Jack Vahnberg, Oliver Thim

Publication date: 12 May 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03288

zbMATH Keywords

fundamental domainGoldbach's conjecturecrystallographic groupDirichlet eigenfunctioncrystalline structure

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Eigenvalue problems for linear operators (47A75) Other geometric groups, including crystallographic groups (20H15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Related Items (1)

On the Robin spectrum for the equilateral triangle*

Cites Work

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• Fuglede’s conjecture fails in dimension 4
• Tiles with no spectra

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