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arXiv · 2510.13685

Congruences for an analogue of Lin's partition function

Russelle Guadalupe
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Abstract

We study certain arithmetic properties of an analogue $B(n)$ of Lin's restricted partition function that counts the number of partition triples $\pi=(\pi_1,\pi_2,\pi_3)$ of $n$ such that $\pi_1$ and $\pi_2$ comprise distinct odd parts and $\pi_3$ consists of parts divisible by $4$. With the help of elementary $q$-series techniques and modular functions, we establish Ramanujan-type congruences modulo $2,3,5,7$, and $9$ for certain sums involving $B(n)$.

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Russelle Guadalupe. 2025-10-15. Congruences for an analogue of Lin's partition function. https://doi.org/10.1007/s00009-026-03088-1

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