A shifted Mahler measure identity for Boyd's family
Quanli Yang, Hang Liu, Guoping Tang
TL;DR
This paper proves a new identity involving shifted Mahler measures for Boyd's family using elliptic regulator techniques, advancing the understanding of Mahler measure relationships in algebraic number theory.
Contribution
It introduces a novel proof of a Mahler measure identity for Boyd's family through elliptic regulator methods, expanding the theoretical framework.
Findings
Proves a shifted Mahler measure identity for Boyd's family.
Utilizes elliptic regulator to establish the identity.
Enhances understanding of Mahler measure relationships.
Abstract
Recently the second author and Qin numerically verified some Mahler measure identities of genus 2 and 3 polynomial families. In this paper, we use the elliptic regulator to prove an identity invoving shifted Mahler measure for Boyd's family.
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.
Taxonomy
TopicsCoding theory and cryptography · Polynomial and algebraic computation · Advanced Differential Equations and Dynamical Systems