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On the integrality of power expansions related to hypergeometric series.

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Publication:1810114
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DOI10.1023/A:1015827602930zbMath1043.11060MaRDI QIDQ1810114

Wadim Zudilin

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

hypergeometric seriesmirror mapCalabi-Yau manifoldlinear differential equationintegral power expansion


Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Transcendence theory of other special functions (11J91)


Related Items (9)

On Dwork’s 𝑝-adic formal congruences theorem and hypergeometric mirror maps ⋮ On the integrality of the Taylor coefficients of mirror maps ⋮ On generalized hypergeometric equations and mirror maps ⋮ Arithmetic properties of mirror maps associated with Gauss hypergeometric equations ⋮ A criterion for the integrality of the Taylor coefficients of mirror maps in several variables ⋮ Integrality of the Taylor coefficients of roots of mirror maps ⋮ ANALYTIC PROPERTIES OF MIRROR MAPS ⋮ Arithmetic properties of hypergeometric mirror maps and Dwork's congruences ⋮ Critère pour l'intégralité des coefficients de Taylor des applications miroir




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