On a supercongruence conjecture of Rodriguez-Villegas

DOI10.1090/S0002-9939-2011-11087-6zbMATH Open1354.11030arXiv1204.1575WikidataQ123206560 ScholiaQ123206560MaRDI QIDQ2845041

Author name not available (Why is that?)

Publication date: 22 August 2013

Published in: (Search for Journal in Brave)

Abstract: In examining the relationship between the number of points over $mathbb{F}_p$ on certain Calabi-Yau manifolds and hypergeometric series which correspond to a particular period of the manifold, Rodriguez-Villegas identified numerically 22 possible supercongruences. We prove one of the outstanding supercongruence conjectures between a special value of a truncated generalized hypergeometric series and the $p$-th Fourier coefficient of a modular form.

Full work available at URL: https://arxiv.org/abs/1204.1575

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