Gert Almkvist, Wadim Zudilin
Published 2004-02-24, updated 2004-12-16Version 2
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.
Comments: AmSTeX, 38 pages
Journal: Mirror Symmetry V, N. Yui, S.-T. Yau, and J.D. Lewis (eds.), AMS/IP Studies in Adv. Math. 38 (2007), Intern. Press & Amer. Math. Soc., 481--515
Some hypergeometric integrals for linear forms in zeta values
A special constant and series with zeta values and harmonic numbers
Tornheim-like series, harmonic numbers and zeta values
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