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Congruences for partition functions related to mock theta functions

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Abstract

Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the third- and sixth-order mock theta functions. In addition, three Ramanujan-type congruences were established by them. In this paper, we present some new congruences for these partition functions.

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Acknowledgements

We would like to thank the referee and editor for helpful comments.

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Correspondence to Li-Jun Hao.

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The second author was supported by the National Natural Science Foundation of China and the Fundamental Research Funds for the Central Universities.

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Chern, S., Hao, LJ. Congruences for partition functions related to mock theta functions. Ramanujan J 48, 369–384 (2019). https://doi.org/10.1007/s11139-017-9979-1

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