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

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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.

SEEK ID: https://publications.h-its.org/publications/953

DOI: 10.1007/s00208-016-1514-y

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Mathematische Annalen

Citation: Math. Ann. 368(3-4):1399-1428

Date Published: 1st Aug 2017

URL: https://link.springer.com/article/10.1007/s00208-016-1514-y

Registered Mode: imported from a bibtex file

Authors: Tobias Hartnick, Andreas Ott

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Lukas Sauer

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Hartnick, T., & Ott, A. (2017). Perturbations of the Spence–Abel equation and deformations of the dilogarithm function. In Mathematische Annalen (Vol. 368, Issues 3-4, pp. 1399–1428). Springer Science and Business Media LLC. https://doi.org/10.1007/s00208-016-1514-y

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Created: 30th Jan 2020 at 09:30

Last updated: 5th Mar 2024 at 21:24

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

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