Some congruences modulo 5 and 25 for overpartitions
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We present two new Ramanujan-type congruences modulo 5 for overpartitions. We also give an affirmative answer to a conjecture of Dou and Lin, which includes four congruences modulo 25 for overpartition.
KeywordsOverpartitions Ramanujan-type congruence Ramanujan’s theta function
Mathematics Subject Classification11P83 05A17
We thank George E. Andrews and Yucheng Liu for some helpful discussions. We also want to thank the referee for useful comments.