A hypergeometric version of the modularity of rigid Calabi-Yau manifolds

DOI10.3842/SIGMA.2018.086zbMath1456.11073arXiv1805.00544MaRDI QIDQ1671688

Wadim Zudilin

Publication date: 7 September 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.00544

zbMATH Keywords

modular formCalabi-Yau manifoldhypergeometric equationbilateral hypergeometric series

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Other character sums and Gauss sums (11T24) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Congruences for modular and (p)-adic modular forms (11F33) Generalized hypergeometric series, ({}_pF_q) (33C20) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

The arithmetic and topology of differential equations ⋮ Special Hypergeometric Motives and Their L-Functions: Asai Recognition ⋮ Lucas congruences for the Ap\'ery numbers modulo $p^2$ ⋮ Some numeric hypergeometric supercongruences ⋮ Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series ⋮ Analytic periods via twisted symmetric squares

Uses Software

• LMFDB

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