2000 character limit reached
A Five-variable generalization of Ramanujan's reciprocity theorem
Published 18 Oct 2013 in math.NT | (1310.5013v1)
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.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.