# Some congruences modulo 5 and 25 for overpartition

## TL;DR

This paper discovers new Ramanujan-type congruences modulo 5 and 25 for overpartition functions, confirming a conjecture and expanding understanding of overpartition congruences.

## Contribution

It introduces two new congruences modulo 5 and proves four conjectured congruences modulo 25 for overpartitions, advancing the theory of partition congruences.

## Key findings

- Two new Ramanujan-type congruences modulo 5 for overpartition
- Four congruences modulo 25 confirmed for overpartition
- Affirmative answer to Dou and Lin's conjecture

## Abstract

We present two new Ramanujan-type congruences modulo 5 for overpartition. We also give an affirmative answer to a conjecture of Dou and Lin, which includes four congruences modulo 25 for overpartition.