21 citations · 24 across the 10 of their papers we have counts for
13 papers
Proofs of eighteen conjectural identities related to the modulo nine Kanade--Russell identities
Ernest X. W. Xia
Uncu and Zudilin studied reflections of finite forms of the modulo nine Kanade--Russell identities under , leading to ten conjectural sum--product evaluations, inc…
The modulo 9 Kanade--Russell identities and their Nahm-sum duals
Ernest X. W. Xia
Kanade and Russell initiated a family of conjectural Rogers--Ramanujan type identities of moduli and , which ultimately comprised five modulo identities and eleven modu…
Some identities on Lin-Peng-Toh's partition statistic of -colored partitions
Yang Lin, Ernest X. W. Xia, Xuan Yu
Recently, Andrews proved two conjectures on a partition statistic introduced by Beck. Very recently, Chern established some results on weighted rank and crank moments and proved ma…
A proof of a conjecture of Mao on Beck's partition statistics modulo 8
Renrong Mao, Ernest X. W. Xia
Beck introduced two partition statistics and ,which denote the total number of parts in the partition of with rank congruent to modulo and the t…
Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics
Liuxin Jin, Eric H. Liu, Ernest X. W. Xia
Recently, George Beck introduced two partition statistics and , which denote the total number of parts in the partition of with rank congruent to mo…
On the log-concavity of -th root of a sequence
Ernest X. W. Xia, Zuo-Ru Zhang
In recent years, the log-concavity of have been received a lot of attention. Very recently, Sun posed the following conjecture in his new book: the se…