Reduced Harmonic Representation of Partitions

Physics – Mathematical Physics

Scientific paper

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Scientific paper

In the present article the reduced integral representation of partitions in
terms of harmonic products has been derived first by using hypergeometry and
the new concept of fractional sum and secondly by studying the Fourier series
of the kernel function appearing in the integral representation. Using the
method of induction, a generalization of the theory has also been obtained.

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