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Mahler measure numerology

2021/09/17 by Zudilin, Wadim
#14G10 #33C20 #33C75 #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #Primary 11R06 #Secondary 11G05

paper · doi:10.48550/arxiv.2109.08554

Abstract

We discuss some (conjectural) evaluations of L-values attached to elliptic curves of conductors 15, 21, 24 and 32 as "hypergeometric periods". These numerical observations are motivated by the Mahler measures of three-variable polynomials.

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