29 citations · 65 across the 20 of their papers we have counts for
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Some conjectures in elementary number theory
Angelo B. Mingarelli
We announce a number of conjectures associated with and arising from a study of primes and irrationals in . All are supported by numerical verification to the extent po…
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…
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…
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…