A shifted Mahler measure identity for Boyd’s family-Reference-Cited by-同舟云学术

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A shifted Mahler measure identity for Boyd’s family

Published:2022-11-23 Issue:05 Volume:19 Page:1027-1050
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Yang Quanli¹,Liu Hang²^ORCID,Tang Guoping³

Affiliation:

1. College of Applied Mathematics, Chengdu, University of Information Technology, Chengdu, Sichuan 610225, P. R. China

2. College of Mathematics and Statistics, Shenzhen University, Shenzhen, Guangdong 518060, P. R. China

3. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, P. R. China

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 involving shifted Mahler measure for Boyd’s family.

Funder

Young Scientists Fund

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042123500513

Reference16 articles.

1. On the Mahler measure of a family of genus 2 curves

2. CRM Monograph Series;Bloch S. J.,2000

3. Uniform Approximation to Mahler’s Measure in Several Variables

4. Mahler's Measure and Special Values of L-functions

5. Regulators of Siegel units and applications

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