Functional equations and ladders for polylogarithms

Gangl, H.

Abstract

We give a number of S3-symmetric functional equations for polylogarithms up to weight 7. This allows one to obtain the first proven ladder relations, à la Lewin, of weight 6 and 7.

Citation

Gangl, H. (2013). Functional equations and ladders for polylogarithms. Communications in Number Theory and Physics, 7(3), 397-410. https://doi.org/10.4310/cntp.2013.v7.n3.a1

• Journal Article Type: Article
• Publication Date: Jan 1, 2013
• Deposit Date: Mar 19, 2012
• Publicly Available Date: May 26, 2014
• Journal: Communications in Number Theory and Physics
• Print ISSN: 1931-4523
• Electronic ISSN: 1931-4531
• Publisher: International Press
• Peer Reviewed: Peer Reviewed
• Volume: 7
• Issue: 3
• Pages: 397-410
• DOI: https://doi.org/10.4310/cntp.2013.v7.n3.a1
• Public URL: https://durham-repository.worktribe.com/output/1478789