A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Author: Zudilin, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209764
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds / W. Zudilin // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 37 назв. — англ.

We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in terms of hypergeometric functions. The p-th coefficients a(p) of the corresponding modular form can often be read off, at least conjecturally, from the truncated partial sums of the underlying hypergeom...