The Mahler measure of a Calabi–Yau threefold and special L-values Academic Article uri icon

abstract

  • The aim of this paper is to prove a Mahler measure formula of a four-variable Laurent polynomial whose zero locus defines a Calabi-Yau threefold. We show that its Mahler measure is a rational linear combination of a special L-value of the normalized newform in S4(Γ0(8)) and a Riemann zeta value. This is equivalent to a new formula for a 6F5-hypergeometric series evaluated at 1. © 2013 Springer-Verlag Berlin Heidelberg.

author list (cited authors)

  • Papanikolas, M. A., Rogers, M. D., & Samart, D.

citation count

  • 3

publication date

  • April 2014