Renrong Mao

most citedCongruences modulo powers of

5

for odd ranks

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

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…

math.NT2023

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 $N T (r, m, n)$ and $M_{ω} (r, m, n)$ ,which denote the total number of parts in the partition of $n$ with rank congruent to $r$ modulo $m$ and the t…

math.NT2023

Andrews-Beck type congrences modulo powers of 5

Nankun Hong, Renrong Mao

Let $N T (m, k, n)$ 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 $N T (m, k, n)$ modul…