12 citations · 48 across the 40 of their papers we have counts for
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Rogers-Ramanujan type identities involving double, triple and quadruple sums
Zhi Li, Liuquan Wang
We prove a number of new Rogers-Ramanujan type identities involving double, triple and quadruple sums. They were discovered after an extensive search using Maple. The main idea of…
New Proofs of Some Double Sum Rogers-Ramanujan Type Identities
Liuquan Wang
Recently, Rosengren utilized an integral method to prove a number of conjectural identities found by Kanade and Russell. Using this integral method, we give new proofs to some doub…
Truncated Series with Nonnegative Coefficients from the Jacobi Triple Product
Liuquan Wang
Andrews and Merca investigated a truncated version of Euler's pentagonal number theorem and showed that the coefficients of the truncated series are nonnegative. They also consider…
Positivity and divisibility of alternating descent polynomials
Zhicong Lin, Shi-Mei Ma, David G. L. Wang +1
The alternating descent statistic on permutations was introduced by Chebikin as a variant of the descent statistic. We show that the alternating descent polynomials on permutations…
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…
Arithmetic Properties of Odd Ranks and -Marked Odd Durfee Symbols
Liuquan Wang
Let be the number of odd Durfee symbols of with odd rank , and be the number of odd Durfee symbols of with odd rank congruent to modulo $…