Integrality Properties of Variations of Mahler Measures

Abstract

We propose some conjectures on the integrality properties related to the variation of Mahler measures, inspired by the results in the elliptic curve case by Rodriguez Villegas, Stienstra and Zagier.

References in corpus (2)

• Multivariate $p$-adic formal congruences and integrality of Taylor coefficients of mirror maps
• Critère pour l'intégralité des coefficients de Taylor des applications miroir

Cited by in corpus (3)

• A Proof of the Conjecture of Lehmer and of the Conjecture of Schinzel-Zassenhaus
• Intégralité des coefficients de Taylor de racines d'applications miroir
• Integrality Properties of Open-Closed Mirror Maps