p-Adic Properties of Hauptmoduln with Applications to Moonshine

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Authors: Chen, R.C., Marks, S., Tyler, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210189
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: p-Adic Properties of Hauptmoduln with Applications to Moonshine / R.C. Chen, S. Marks, M. Tyler // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 42 назв. — англ.

The theory of monstrous moonshine asserts that the coefficients of Hauptmoduln, including the j-function, coincide precisely with the graded characters of the monster module, an infinite-dimensional graded representation of the monster group. On the other hand, Lehner and Atkin proved that the coeff...