A modular supercongruence for _6F_5: An Apéry-like story
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Publication:4610360
DOI10.5802/aif.3201zbMath1429.11039arXiv1701.04098OpenAlexW2963579298MaRDI QIDQ4610360
Armin Straub, Wadim Zudilin, Robert Osburn
Publication date: 15 January 2019
Published in: Annales de l’institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04098
Binomial coefficients; factorials; (q)-identities (11B65) Fourier coefficients of automorphic forms (11F30) Generalized hypergeometric series, ({}_pF_q) (33C20) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Related Items (12)
A whipple \(_7F_6\) formula revisited ⋮ Some supercongruences of arbitrary length ⋮ A local-global theorem for \(p\)-adic supercongruences ⋮ A hypergeometric version of the modularity of rigid Calabi-Yau manifolds ⋮ On some hypergeometric supercongruence conjectures of Long ⋮ On the divisibility of some truncated hypergeometric series ⋮ Congruences corresponding to hypergeometric identities. I: \(_2F_1\) transformations ⋮ Hypergeometric supercongruences ⋮ Some numeric hypergeometric supercongruences ⋮ Supercongruences for rigid hypergeometric Calabi-Yau threefolds ⋮ Supercongruences concerning truncated hypergeometric series ⋮ On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series
Uses Software
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