2 papers
math.NT2026
A proof of the Baruah--Gogoi conjecture on sums of odd and even overlined parts
Eric H. Liu, X. L. Liu, Olivia X. M. Yao
Andrews and Dastidar introduced the statistic $\SOME(n)$, defined as the difference between the sum of all odd parts and the sum of all even parts occurring in the partitions of $n…
math.NT2026
Some identities on the second order mock theta functions
Xingyuan Cai, Eric H. Liu, Olivia X. M. Yao
Recently, Nath and Das investigated congruence properties for the second order mock theta function . In their paper, they asked for analytic proofs of three identities on the…