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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.NT2006
Principal solutions of recurrence relations and irrationality questions in number theory
Angelo B. Mingarelli
We apply the theory of disconjugate linear recurrence relations to the study of irrational quantities in number theory. In particular, for an irrational number associated with solu…