Dermot McCarthy, Robert Osburn, Armin Straub — Mathematical Proceedings of the Cambridge Philosophical Society — Volume 168, Number 2, 2020, Pages 397-404
Abstract
It is well-known that the Apéry sequences which arise in the irrationality proofs for \(\zeta(2)\) and \(\zeta(3)\) satisfy many intriguing arithmetic properties and are related to the \(p\)th Fourier coefficients of modular forms. In this paper, we prove that the connection to modular forms persists for sequences associated to Brown's cellular integrals and state a general conjecture concerning supercongruences.An extended abstract of this paper has been published in the book 2017 MATRIX Annals, which documents scientific activities at MATRIX in 2017.
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BibTeX
@article{brownsequences-2020,
author = {Dermot McCarthy and Robert Osburn and Armin Straub},
title = {Sequences, modular forms and cellular integrals},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
year = {2020},
volume = {168},
number = {2},
pages = {397--404},
doi = {10.1017/S0305004118000774},
}