12 citations · 48 across the 40 of their papers we have counts for
6 papers · 1 filter
The smallest parts function associated with
Liuquan Wang, Yifan Yang
We establish two families of congruences modulo powers of 5 for the Fourier coefficients of , where is the weight 2 Eisenstein series and $η(τ…
Representations of mock theta functions
Dandan Chen, Liuquan Wang
Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of pa…
Some inequalities for Garvan's bicrank function of 2-colored partitions
Shane Chern, Dazhao Tang, Liuquan Wang
In order to provide a unified combinatorial interpretation of congruences modulo for 2-colored partition functions, Garvan introduced a bicrank statistic in terms of weighted v…
New Proofs of Ramanujan's Identities on False Theta Functions
Liuquan Wang
We provide new proofs to five of Ramanujan's intriguing identities on false theta functions without using the Rogers-Fine identity and Bailey transforms.
Congruences Modulo Powers of 3 for 3- and 9-Colored Generalized Frobenius Partitions
Liuquan Wang
Let be the number of -colored generalized Frobenius partitions of . We establish some infinite families of congruences for and modulo arbi…
Fractional Powers of the Generating Function for the Partition Function
Heng Huat Chan, Liuquan Wang
Let be the coefficient of in the series expansion of . It is known that the partition function , which corresponds to the case when $k=-1…