73 citations · 347 across the 30 of their papers we have counts for
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math.NT2015★ 8 cited
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…
math.NT2015★ 14 cited
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…