14 citations · 14 across the 1 of their papers we have counts for
2 papers
math.NT2026
Gosper's and Ramanujan's infinite products and generalizations
Jean-Paul Allouche, John M. Campbell, Simon R. Holcombe +2
Gosper introduced many remarkable formulas involving infinite products. One such formula provides an evaluation of the product $$\prod_{n \geq 1} \frac{1}{e}\left(\frac{1}{3n} + 1\…
math.NT2009★ 14 cited
Recurrent proofs of the irrationality of certain trigonometric values
Li Zhou, Lubomir Markov
We use recurrences of integrals to give new and elementary proofs of the irrationality of pi, tan(r) for all nonzero rational r, and cos(r) for all nonzero rational r^2. Immediate…