Ronghua Wang

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math.CO2022

Polynomial reduction for holonomic sequences and applications in $π$ -series and congruences

Rong-Hua Wang, Michael X. X. Zhong

Polynomial reduction, designed first for hypergeometric terms, can be used to automatically prove and generate new hypergeometric identities from old ones. In this paper, we extend…

math.CO2014

Ramanujan-type Congruences for Overpartitions Modulo 5

William Y. C. Chen, Lisa H. Sun, Rong-Hua Wang +1

Let $p (n)$ denote the number of overpartitions of $n$ . Hirschhorn and Sellers showed that $p (4 n + 3) \equiv 0 (mod 8)$ for $n \geq 0$ . They also conjectured that…

Polynomial reduction for holonomic sequences and applications in π-series and congruences

Ramanujan-type Congruences for Overpartitions Modulo 5

Polynomial reduction for holonomic sequences and applications in $π$ -series and congruences