On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions

DOI10.1063/1.2902996zbMath1152.81383arXiv0801.0273OpenAlexW2146156739MaRDI QIDQ5504887

Mark W. Coffey

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0801.0273

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Higher logarithm functions (33B30)

Related Items (11)

An efficient calculation of the Clausen functions \(\text{Cl}_{n }(\theta )(n\geq 2)\) ⋮ On harmonic numbers and nonlinear Euler sums ⋮ On a general \(q\)-identity ⋮ Identities on harmonic and \(q\)-harmonic number sums ⋮ On conjectured local generalizations of anisotropic scale invariance and their implications ⋮ Alternative evaluation of a ln tan integral arising in quantum field theory ⋮ On \(q\)-analogues of quadratic Euler sums ⋮ On generalized harmonic number sums ⋮ Integral representations of functions and Addison-type series for mathematical constants ⋮ A dilogarithmic integral arising in quantum field theory ⋮ Evaluation of a ln tan integral arising in quantum field theory

Cites Work

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• On the Clausen integral \(Cl_ 2(\theta)\) and a related integral
• Formulae concerning the computation of the Clausen integral \(Cl_ 2(\theta)\)
• Feynman diagrams to three loops in three-dimensional field theory
• Hyperbolic geometry: The first 150 years
• THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY
• A Method for the Approximation of Functions Defined by Formal Series Expansions in Orthogonal Polynomials
• Antiferromagnetism. The Triangular Ising Net

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