Differential equations, mirror maps and zeta values
  The aim of this work is an analytic investigation of differential equations producing mirror maps as well as giving new examples of mirror maps; one of these examples is related to (rational approximations to) $\zeta(4)$. We also indicate certain observations that might become a subject of further research. 
Gert Almkvist (Lund) and Wadim Zudilin (Moscow)