Renrong Mao

activity

20152026

most citedVariations of Andrews-Beck type congruences

29 citations · 31 across the 7 of their papers we have counts for

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math.CO2026

Uniform Asymptotics for Andrews-Beck Partition Statistics

Renrong Mao

Let $\NT(m,n)$ be the total number of parts in the partitions of $n$ with rank $m$ , and let $\MW(m,n)$ be the total number of ones in the partitions of $n$ with crank $m$ . Using th…

math.CO2024★ 1 cited

Congruences modulo powers of $5$ for odd ranks

Renrong Mao, Zhiqian Zhou

In 2007, Andrews studied the odd Durfee symbols and their odd ranks. Let $N^{0} (m, k, n)$ denote the number of odd Durfee symbols of $n$ with odd rank congruent to $m$ modulo $k$ . 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…

Uniform Asymptotics for Andrews-Beck Partition Statistics

Congruences modulo powers of 5 for odd ranks

Asymptotic formulas for the coefficients of the truncated theta series

Congruences modulo powers of $5$ for odd ranks