Dilogarithm identities after Bridgeman
Pradthana Jaipong, Mong Lung Lang, Ser Peow Tan, Ming Hong Tee
TL;DR
This paper explores new infinite dilogarithm identities linked to Fibonacci, Lucas, and continued fraction sequences, expanding understanding of special functions and their relations to number theory.
Contribution
It introduces several families of dilogarithm identities connected to classical sequences and recurrence relations, building on Bridgeman's foundational work.
Findings
Identified infinite dilogarithm identities involving Fibonacci and Lucas numbers
Established connections between dilogarithm identities and continued fraction convergents
Extended the scope of dilogarithm identities to various recurrence relations
Abstract
Following Bridgeman, we demonstrate several families of infinite dilogarithm identities associated with Fibonacci numbers, Lucas numbers, convergents of continued fractions of even periods, and terms arising from various recurrence relations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.