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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