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Published in:
2019 | OriginalPaper | Chapter
Sequences, Modular Forms and Cellular Integrals
Authors : Dermot McCarthy, Robert Osburn, Armin Straub
Published in: 2017 MATRIX Annals
Publisher: Springer International Publishing
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It is well-known that the Apéry sequences which arise in the irrationality proofs for ζ(2) and ζ(3) satisfy many intriguing arithmetic properties and are related to the pth Fourier coefficients of modular forms. Here, we briefly indicate that the connection to modular forms persists for sequences associated to Brown’s cellular integrals and state a general conjecture concerning supercongruences.