Sequences, modular forms and cellular integrals [article]

Dermot McCarthy, Robert Osburn, Armin Straub
2018 arXiv   pre-print
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. 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.
arXiv:1705.05586v2 fatcat:aimvzxsxu5dsvctxu2b2ardjty