• Corpus ID: 117524622

# Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory

@article{Cvijovic2010ProofOT,
title={Proof of the Borwein-Broadhurst conjecture for a dilogarithmic integral arising in quantum field theory},
author={Djurdje Cvijovic},
journal={arXiv: Mathematical Physics},
year={2010}
}
• D. Cvijovic
• Published 31 October 2010
• Mathematics
• arXiv: Mathematical Physics
Borwein and Broadhurst, using experimental-mathematics techniques, in 1998 identified numerous hyperbolic 3-manifolds whose volumes are rationally related to values of various Dirichlet L series $\textup{L}_{d}(s)$. In particular, in the simplest case of an ideal tetrahedron in hyperbolic space, they conjectured that a dilogarithmic integral representing the volume equals to $\textup{L}_{-7}(2)$. Here we have provided a formal proof of this conjecture which has been recently numerically…

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