A shifted Mahler measure identity for Boyd's family

Published 21 Feb 2022 in math.NT and math.KT | (2202.09974v1)

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.

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