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On mock theta functions and weight-attached Frobenius partitions

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Abstract

In this paper, we provide the combinatorial interpretations of many mock theta functions and some generalizations using Frobenius partitions with attached weights. We establish our results by providing the interpretations of unsigned versions of mock theta functions leading to the interpretations of the corresponding mock theta functions.

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Acknowledgements

The authors are thankful to the referee for his/her many valuable suggestions which led to a better presentation of the paper.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, Punjab, 147004, India

    S. Sharma & M. Rana

Authors
  1. S. Sharma
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  2. M. Rana
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Correspondence to M. Rana.

Additional information

M. Rana—Supported by NBHM Research Grant Ref. No. 2/48(18/2016/NBHM(R.P.)/R D II/14983).

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Sharma, S., Rana, M. On mock theta functions and weight-attached Frobenius partitions. Ramanujan J 50, 289–303 (2019). https://doi.org/10.1007/s11139-018-0054-3

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  • DOI: https://doi.org/10.1007/s11139-018-0054-3

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