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Auteur principal:	Alex Shvets
Format:	Recurso digital
Langue:	anglais
Publié:	Zenodo 2026
Sujets:	symmetric cube Mao-Tian recurrence Apéry-like sequence supercongruence eta quotient modular form order drop hypergeometric function Hecke descent Lagrange-Bürmann Eisenstein series arithmetic specialization Dwork-type congruence
Accès en ligne:	https://doi.org/10.5281/zenodo.19648644
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<p>We prove a supercongruence modulo p to the fourth for the coefficients of the symmetric cube of the hypergeometric function at parameters one third, one third, one. The proof combines a modular identification on X_0(3), an Eisenstein-type congruence for the coefficients of the Hauptmodul derivative, Lagrange–Bürmann coefficient extraction, and a Fricke–Hecke descent argument that yields uniform vanishing of all defects.</p>