We prove a certain Calabi-Yau threefold is modular in the sense that the number of points on its reduction modulo p is expressed in terms of the pth coefficient of a weight 4 newform in S 4(Γ 0(6)). We also give a mod p 2 combinatorial expression for these coefficients. © Springer Science + Business Media, LLC 2006.
Original languageEnglish
Pages (from-to)5-39
Number of pages35
JournalRamanujan Journal
Volume11
Issue number1
DOIs
StatePublished - 1 Feb 2006

    Research areas

  • Calabi-Yau threefold, Modular forms, Trace formula

ID: 126317004