Periods of singular double octic Calabi-Yau threefolds and modular forms

Tymoteusz Chmiel, Sławomir Cynk

By the modularity theorem every rigid Calabi-Yau threefold $X$ has associated modular form $f$ such that the equality of $L$-functions $L(X,s)=L(f,s)$ holds. In this case period in…