29 citations · 31 across the 7 of their papers we have counts for
8 papers
Uniform Asymptotics for Andrews-Beck Partition Statistics
Renrong Mao
Let $\NT(m,n)$ be the total number of parts in the partitions of with rank , and let $\MW(m,n)$ be the total number of ones in the partitions of with crank . Using th…
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' w…
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…
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…
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…
Andrews-Beck type congrences modulo powers of 5
Nankun Hong, Renrong Mao
Let denote the total number of parts in the partitions of n with rank congruent to m modulo k. Andrews proved Beck's conjecture on congruences for modul…
Variations of Andrews-Beck type congruences
Song Heng Chan, Renrong Mao, Robert Osburn
We prove three variations of recent results due to Andrews on congruences for , the total number of parts in the partitions of with rank congruent to modulo .…
On recursions for coefficients of mock theta functions
Song Heng Chan, Renrong Mao, Robert Osburn
We use a generalized Lambert series identity due to the first author to present q-series proofs of recent results of Imamoglu, Raum and Richter concerning recursive formulas for th…