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Journal of the Ramanujan Mathematical Society

Volume 34, Issue 4, December 2019  pp. 401–410.

Interpreting some fifth and sixth order mock theta functions by attaching weights

Authors:  S. Sharma and M. Rana
Author institution:School of Mathematics, Thapar Institute of Engineering and Technology, Patiala 147 004, India

Summary:  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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