Perturbations of the Spence-Abel equation and deformations of the dilogarithm function
classification
🧮 math.NT
math.CAmath.GR
keywords
equationspence-abeldilogarithmperturbationsanalysisanalyzeapplicationbounded
read the original 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).
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.