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arxiv: 1803.10834 · v1 · pith:P2VQUSHCnew · submitted 2018-03-28 · 🧮 math.NT

Hypergeometric supercongruences

David Roberts , Fernando Rodriguez Villegas This is my paper
classification 🧮 math.NT
keywords hypergeometricrelatedabstractacceleratedaustraliacalabi-yauconvergencecreswick
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We discuss two related principles for hypergeometric supercongrences, one related to accelerated convergence and the other to the vanishing of Hodge numbers. This is an extended abstract of a talk given at the workshop "Hypergeometric motives and Calabi-Yau differential equations" at the Mathematical Research Institute (MATRIX) of The University of Melbourne in Creswick, Australia in January of 2017.

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  1. Split-prime supercongruence at the mixed CM point (1/6, 1/3; 1)

    math.NT 2026-05 unverdicted novelty 6.0

    Proves A_mp^mix ≡ A_m^mix mod p^4 for split primes p≥7 p≡1 mod 3 at mixed CM point (1/6,1/3;1), exceeding Hodge-gap prediction via CM enhancement, with inert-prime obstruction.