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arXiv · 1601.07109

Perturbations of the Spence-Abel equation and deformations of the dilogarithm function

Tobias Hartnick·Andreas Ott
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Abstract

We analyze existence, uniqueness and regularity of solutions for perturbations of the Spence-Abel equation for the Rogers' dilogarithm. As an application we deduce a version of Hyers-Ulam stability for the Spence-Abel equation. Our analysis makes use of a well-known cohomological interpretation of the Spence-Abel equation and is based on our recent results on continuous bounded cohomology of SL(2,R).

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Tobias Hartnick, Andreas Ott. 2016-01-26. Perturbations of the Spence-Abel equation and deformations of the dilogarithm function. https://arxiv.org/abs/1601.07109

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