Elliptic aspects of statistical mechanics on spheres

DOI10.1063/1.3025431zbMath1159.81317arXiv0807.1995OpenAlexW2089302760MaRDI QIDQ3624659

Klaus Kirsten, J. Stuart Dowker

Publication date: 30 April 2009

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

Full work available at URL: https://arxiv.org/abs/0807.1995

Mathematics Subject Classification ID

Model quantum field theories (81T10) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Miscellaneous applications of number theory (11Z05) Elliptic functions and integrals (33E05) Casimir effect in quantum field theory (81T55)

Related Items (1)

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Cites Work

• Unnamed Item
• Extension of summation of series of hyperbolic functions
• A quick combinatorial proof of Eisenstein series identities
• Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
• Elliptic functions and temperature inversion symmetry on spheres
• Auswertung einiger spezieller unendlicher Reihen aus dem Bereich der elliptischen Funktionen
• Elementary proofs of relations between Eisenstein series
• The evaluation in terms of Γ-functions of the periods of elliptic curves admitting complex multiplication
• The Summation of Series of Hyperbolic Functions
• Further functional determinants
• On Differential Operators and Automorphic Forms
• On Summation of Series of Hyperbolic Functions

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