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The Ramanujan Journal

, Volume 50, Issue 2, pp 289–303 | Cite as

On mock theta functions and weight-attached Frobenius partitions

  • S. Sharma
  • M. RanaEmail author
Article
  • 130 Downloads

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.

Keywords

Mock theta functions F-partitions n-Color partitions 

Mathematics Subject Classification

05A17 05A19 11P81 

Notes

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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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of MathematicsThapar Institute of Engineering and TechnologyPatialaIndia

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