A zeta function approach to the relation between the numbers of symmetry planes and axes of a polytope

DOI10.1063/1.530729zbMath0822.58050arXivhep-th/9309043OpenAlexW2012447165MaRDI QIDQ4327289

J. Stuart Dowker

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9309043

zbMATH Keywords

symmetrypolytopeszeta functionCesàro-Fedorov relationheat- kernel

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Polyhedra and polytopes; regular figures, division of spaces (51M20) Other Dirichlet series and zeta functions (11M41) Determinants and determinant bundles, analytic torsion (58J52)

Cites Work

• 2- and 3-cochains in 4-dimensional SU(2) gauge theory
• Effective action in spherical domains
• Spiegelungsgruppen und Aufzählung halbeinfacher Liescher Ringe
• The product of the generators of a finite group generated by reflections
• On the Number of Sides of a Petrie Polygon
• Can One Hear the Shape of a Drum?
• Invariants of Finite Reflection Groups
• Finite Unitary Reflection Groups

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