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Differential equations, mirror maps and zeta values

Number Theory 2009-02-24 v2 High Energy Physics - Theory Mathematical Physics Algebraic Geometry Classical Analysis and ODEs math.MP

Abstract

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) ζ(4)\zeta(4). We also indicate certain observations that might become a subject of further research.

Keywords

Cite

@article{arxiv.math/0402386,
  title  = {Differential equations, mirror maps and zeta values},
  author = {Gert Almkvist and Wadim Zudilin},
  journal= {arXiv preprint arXiv:math/0402386},
  year   = {2009}
}

Comments

AmSTeX, 38 pages