29 citations · 41 across the 4 of their papers we have counts for
4 papers
Variations of Andrews-Beck type congruences
Song Heng Chan, Renrong Mao, Robert Osburn
We prove three variations of recent results due to Andrews on congruences for , the total number of parts in the partitions of with rank congruent to modulo .…
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…
The first positive rank and crank moments for overpartitions
George Andrews, Song Heng Chan, Byungchan Kim +1
In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also h…
Rank-Crank type PDEs and generalized Lambert series identities
Song Heng Chan, Atul Dixit, Frank G. Garvan
We show how Rank-Crank type PDEs for higher order Appell functions due to Zwegers may be obtained from a generalized Lambert series identity due to the first author. Special cases…