73 citations · 347 across the 30 of their papers we have counts for
34 papers
Bailey pairs and quantum -series identites. I. The classical identities
Jehanne Dousse, Jeremy Lovejoy
We use Bailey pairs to prove -series identities at roots of unity due to Cohen and Bryson-Ono-Pitman-Rhoades. The proofs use Bailey pairs with quadratic forms developed in the s…
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
Shashank Kanade, Jeremy Lovejoy
We show how Bailey pairs can be used to give a simple proof of an identity of Chern, Li, Stanton, Xue, and Yee. The same method yields a number of related identities as well as fal…
Bailey pairs, radial limits of -hypergeometric false theta functions, and a conjecture of Hikami
Jeremy Lovejoy, Rishabh Sarma
In the first part of this paper we prove a conjecture of Hikami on the values of the radial limits of a family of -hypergeometric false theta functions. Hikami conjectured that…
Odd unimodal sequeneces
Kathrin Bringmann, Jeremy Lovejoy
In this paper we study odd unimodal and odd strongly unimodal sequences. We use -series methods to find several fundamental generating functions. Employing the Euler--Maclaurin…
Rank deviations for overpartitions
Jeremy Lovejoy, Robert Osburn
We prove general fomulas for the deviations of two overpartition ranks from the average. These formulas are in terms of Appell--Lerch series and sums of quotients of theta function…
Bailey pairs and strange identities
Jeremy Lovejoy
Zagier introduced the term "strange identity" to describe an asymptotic relation between a certain -hypergeometric series and a partial theta function at roots of unity. We show…