Abstract: It is well known that Ramanujan conjectured congruences modulo powers of $5$, $7$ and $11$ for the partition function. These were subsequently proved by Watson (1938) and Atkin (1967). In 2009 Choi, Kang, and Lovejoy proved congruences modulo powers of $5$ for the crank parity function. The generating function for the rank parity function is $f(q)$, which is the first example of a mock theta function that Ramanujan mentioned in his last letter to Hardy. We prove congruences modulo powers of $5$ for the rank parity function.

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Created by F.G. Garvan (fgarvan@ufl.edu) on Wednesday, May 5, 2021.
Last update made Wed May 5 15:59:18 EDT 2021.

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