A Five-variable generalization of Ramanujan's reciprocity theorem
Number Theory
2013-10-21 v1
Abstract
By virtue of Bailey's well-known bilateral 6\psi_6 summation formula and Watson's transformation formula,we extend the four-variable generalization of Ramanujan's reciprocity theorem due to Andrews to a five-variable one. Some relevant new q-series identities including a new proof of Ramanujan's reciprocity theorem and of Watson's quintuple product identity only based on Jackson's transformation are presented.
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Cite
@article{arxiv.1310.5013,
title = {A Five-variable generalization of Ramanujan's reciprocity theorem},
author = {Xinrong Ma},
journal= {arXiv preprint arXiv:1310.5013},
year = {2013}
}
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