Journal of the Ramanujan Mathematical Society

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Interpreting Some Fifth and Sixth Order Mock Theta Functions by Attaching Weights


Affiliations
1 School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India
2 Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo, India
     

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A constructive approach is applied to obtain the interpretations of two mock theta functions of order five and four of order six using two-line arrays for (n + t)–color partitions. Interpretations of four mock theta functions are obtained by attaching weights to the partitions generated by their unsigned versions. Further, mappings are established to obtain the interpretations of the same mock theta functions in terms of F–partitions.
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  • Interpreting Some Fifth and Sixth Order Mock Theta Functions by Attaching Weights

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Authors

S. Sharma
School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India
M. Rana
Yadavindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo, India

Abstract


A constructive approach is applied to obtain the interpretations of two mock theta functions of order five and four of order six using two-line arrays for (n + t)–color partitions. Interpretations of four mock theta functions are obtained by attaching weights to the partitions generated by their unsigned versions. Further, mappings are established to obtain the interpretations of the same mock theta functions in terms of F–partitions.

References