Supercongruences for rigid hypergeometric Calabi-Yau threefolds
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Publication:2054243
DOI10.1016/j.aim.2021.108058zbMath1479.14047arXiv1705.01663OpenAlexW2611642685MaRDI QIDQ2054243
Fang-Ting Tu, Noriko Yui, Ling Long, Wadim Zudilin
Publication date: 1 December 2021
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.01663
hypergeometric seriescharacter summodularitysupercongruencerigid Calabi-Yau threefoldhypergeometric motive
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 (10)
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 ⋮ GHOSTS AND CONGRUENCES FOR -APPROXIMATIONS OF HYPERGEOMETRIC PERIODS ⋮ Characterization of intersecting families of maximum size in \(\mathrm{PSL}(2,q)\) ⋮ Computing special \(L\)-values of certain modular forms with complex multiplication ⋮ Hypergeometric functions over finite fields ⋮ Some numeric hypergeometric supercongruences ⋮ Hypergeometric functions over finite fields and modular forms. A survey and new conjectures
Uses Software
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