3 papers
math.NT2026
On the modularity of the odd rank generating functions
Renrong Mao
To provide partition-theoretic interpretations to Watson's the third-order mock theta function , Andrews defined the odd Durfee symbols and odd ranks. Motivated by Andrews'…
math.CO2024
Congruences modulo powers of for odd ranks
Renrong Mao, Zhiqian Zhou
In 2007, Andrews studied the odd Durfee symbols and their odd ranks. Let denote the number of odd Durfee symbols of with odd rank congruent to modulo . Moti…
math.CO2024
Asymptotic formulas for the coefficients of the truncated theta series
Renrong Mao
Motivated by the groundbreaking work of Andrews and Merca, truncated theta series have been extensively studied over the years. In particular, Merca made conjectures on the non-neg…