Sequences, modular forms and cellular integrals
2018 ◽
Vol 168
(2)
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pp. 379-404
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AbstractIt 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.
2019 ◽
Vol 2019
(749)
◽
pp. 133-159
2010 ◽
Vol 06
(01)
◽
pp. 69-87
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2018 ◽
Vol 88
(2)
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pp. 371-376
Keyword(s):
2012 ◽
Vol 182
(4)
◽
pp. 444-455
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2013 ◽
Vol 09
(07)
◽
pp. 1841-1853
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Keyword(s):