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math.NT2023
Transformation and symmetries for the Andrews-Garvan crank function
Rishabh Sarma
Let be the two-variable generating function of Dyson's rank function. In a recent joint work with Frank Garvan, we investigated the transformation of the elements of the $…
math.NT2023
New symmetries for Dyson's rank function
F. G. Garvan, Rishabh Sarma
At the 1987 Ramanujan Centenary meeting Dyson asked for a coherent group-theoretical structure for Ramanujan's mock theta functions analogous to Hecke's theory of modular forms. Ma…