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

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.

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Hauptverfasser: Hartnick, Tobias (VerfasserIn) , Ott, Andreas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 31 January 2017
In: Mathematische Annalen
Year: 2017, Jahrgang: 368, Heft: 3-4, Pages: 1399-1428
ISSN:1432-1807
DOI:10.1007/s00208-016-1514-y
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1007/s00208-016-1514-y
Verlag, Volltext: https://link.springer.com/article/10.1007/s00208-016-1514-y
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Verfasserangaben:Tobias Hartnick, Andreas Ott

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