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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 $π=(π_1,π_2,π_3)$ of $n$ such that $π_1$ and $π_2$ comprise distinct odd parts and $π_3$ 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. 2026-01-08. Congruences for an analogue of Lin's partition function. https://doi.org/10.1007/s00009-026-03088-1

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