The Mahler measure of a CalabiYau threefold and special $$L$$ 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(0(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.

published proceedings

  • Mathematische Zeitschrift

author list (cited authors)

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

citation count

  • 4

complete list of authors

  • Papanikolas, Matthew A||Rogers, Mathew D||Samart, Detchat

publication date

  • April 2014