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math.NT2007
On the irrationality of Ramanujan's mock theta functions and other q-series at an infinite number of points
Angelo B. Mingarelli
We show that all of Ramanujan's mock theta functions of order 3, Watson's three additional mock theta functions of order 3, the Rogers-Ramanujan q-series, and 6 mock theta function…
math.NT2007★ 4 cited
Abstract factorials
Angelo B. Mingarelli
A commutative semigroup of abstract factorials is defined in the context of the ring of integers. We study such factorials for their own sake, whether they are or are not connected…