Perturbations of the Spence-Abel equation and deformations of the dilogarithm function
Number Theory
2016-01-27 v1 Classical Analysis and ODEs
Group Theory
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).
Keywords
Cite
@article{arxiv.1601.07109,
title = {Perturbations of the Spence-Abel equation and deformations of the dilogarithm function},
author = {Tobias Hartnick and Andreas Ott},
journal= {arXiv preprint arXiv:1601.07109},
year = {2016}
}
Comments
23 pages