3 citations · 11 across the 15 of their papers we have counts for
21 papers
Explicit Forms and Proofs of Zagier's Rank Three Examples for Nahm's Problem
Liuquan Wang
Let be a positive integer, a real positive semi-definite symmetric rational matrix, a rational vector of length , and a rational scalar. Nahm's…
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…
Modular Proofs of Gosper's Identities
Liuquan Wang
We give unified modular proofs to all of Gosper's identities on the -constant . We also confirm Gosper's observation that for any distinct positive integers $n_1,\cdots,n_m…
Sign Changes of Coefficients of Powers of the Infinite Borwein Product
Liuquan Wang
We denote by the coefficient of in the series expansion of , which is the -th power of the infinite Borwein product. Le…
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…
Brouwer degree for Kazdan-Warner equations on a connected finite graph
Linlin Sun, Liuquan Wang
We study Kazdan-Warner equations on a connected finite graph via the method of the degree theory. Firstly, we prove that all solutions to the Kazdan-Warner equation with nonzero pr…