Siyu Yin

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20242026

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math.CO2025

Congruences modulo powers of $3$ for generalized Frobenius partitions $C Ψ_{6, 0}$

Dandan Chen, Siyu Yin

In 1984, Andrews introduced the family of partition functions $cϕ_k(n)$, which counts the number of generalized Frobenius partitions of $n$ with $k$ colors. In previous work,…

math.NT2025

Congruences modulo powers of $7$ for $k$ -elongated plane partitions

Dandan Chen, Tianjian Xu, Siyu Yin

The enumeration $d_{k} (n)$ of $k$ -elongated plane partition diamonds has emerged as a generalization of the classical integer partition function $p (n)$ . Congruences for $d_{k} (n)$ modu…

math.CO2025

Congruences modulo powers of $3$ for $6$ -colored generalized Frobenius partitions

Dandan Chen, Siyu Yin

In $1984$ , Andrews introduced the family of partition functions $c ϕ_{k} (n)$ , which enumerate generalized Frobenius partitions of $n$ with $k$ colors. In $2016$ , Gu, Wang, and Xia est…

Congruences modulo powers of 3 for generalized Frobenius partitions CΨ6,0​

Congruences modulo powers of 7 for k-elongated plane partitions

Congruences modulo powers of 3 for 6-colored generalized Frobenius partitions

Congruences modulo powers of $3$ for generalized Frobenius partitions $C Ψ_{6, 0}$

Congruences modulo powers of $7$ for $k$ -elongated plane partitions

Congruences modulo powers of $3$ for $6$ -colored generalized Frobenius partitions