11 citations · 25 across the 12 of their papers we have counts for
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math.NT2013★ 1 cited
On the number of even and odd strings along the over partitions of n
Byungchan Kim, Eunmi Kim, Jeehyeon Seo
Recently, Andrews, Chan, Kim and Osburn introduced the even strings and the odd strings in the overpartitions. We show that their conjecture holds for large…
math.NT2013★ 11 cited
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…
math.NT2013★ 4 cited
Mock theta functions and weakly holomorphic modular forms modulo 2 and 3
Scott Ahlgren, Byungchan Kim
We prove that the coefficients of certain mock theta functions possess no linear congruences modulo 3. We prove similar results for the moduli 2 and 3 for a wide class of weakly ho…