A Dilogarithm Series and a Generalization of a Theorem of Bridgeman

Published 28 Oct 2024 in math.NT and math.CA | (2410.21619v1)

Abstract: Using Abel's five-term relation, we obtain a new two-parameter series identity for the Rogers dilogarithm. By specializing this identity we are able to derive dilogarithm series involving Lucas sequences. These identities generalize some results of Bridgeman, which were obtained using a completely different approach.

Abstract PDF HTML Upgrade to Chat

Authors (1)

Chance Sanford

Summary

No one has generated a summary of this paper yet.

Sign Up to Summarize

Paper to Video (Beta)

No one has generated a video about this paper yet.

Sign Up to Generate All Videos Subscribe on YouTube

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Sign Up to Generate

Paper Prompts

Sign up for free to create and run prompts on this paper using GPT-5.

Top Community Prompts

Explain it Like I'm 14

Practical Applications

Conceptual Simplification

Sign Up to Activate View All Prompts

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.

Sign Up for Free