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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2502.17312 |
| Etiquetas: |
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- Recently, several mathematicians have investigated various partition functions with the goal of discovering Ramanujan-type congruences. One such function is $\overline{B}_{2^α}(n)$, which represents the number of $2^α-$regular overpartition pairs of $n$. In this context, we establish Ramanujan-type congruences modulo powers of $2$ for this function. For instance, we prove that \begin{equation*} \overline{B}_{2^α}(2^{α+β+1}(n+1)) \equiv 0\pmod{2^{3β+5}} \end{equation*} for all $n, β\geq 0,\, α\in \mathbb{N}$.