2 papers
math.CA2008
Remarks on an 1828 theorem of Clausen
Angelo B. Mingarelli
We list some explicit calculations related to a theorem of Clausen originally published in 1828, more commonly known as the result that describes the linear third order differentia…
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…