77 citations · 784 across the 49 of their papers we have counts for
4 papers · 1 filter
On the (K.2) supercongruence of Van Hamme
Robert Osburn, Wadim Zudilin
We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due to Van Hamme from 1997. The proof utilizes classical congruences and a WZ pair du…
On recursions for coefficients of mock theta functions
Song Heng Chan, Renrong Mao, Robert Osburn
We use a generalized Lambert series identity due to the first author to present q-series proofs of recent results of Imamoglu, Raum and Richter concerning recursive formulas for th…
Real quadratic double sums
Jeremy Lovejoy, Robert Osburn
In 1988, Andrews, Dyson and Hickerson initiated the study of q-hypergeometric series whose coefficients are dictated by the arithmetic in real quadratic fields. In this paper, we p…
Mock theta double sums
Jeremy Lovejoy, Robert Osburn
We prove a general result on Bailey pairs and show that two Bailey pairs of Bringmann and Kane are special cases. We also show how to use a change of base formula to pass from the…