The Mahler Measure of a Calabi-yau Threefold and Special L-values

@inproceedings{Papanikolas2013TheMM,
  title={The Mahler Measure of a Calabi-yau Threefold and Special L-values},
  author={Matthew A. Papanikolas and Mathew D. Rogers and Detchat Samart},
  year={2013}
}
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… CONTINUE READING