A Note on Four-Variable Reciprocity Theorem | Zendy

Chandrashekar Adiga | Zendy; P. S. Guruprasad | Zendy

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A Note on Four-Variable Reciprocity Theorem

Author(s) -

Chandrashekar Adiga,

P. S. Guruprasad

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/370390

Subject(s) - mathematics , ramanujan's sum , generalization , reciprocity law , watson , identity (music) , transformation (genetics) , pure mathematics , reciprocity (cultural anthropology) , variable (mathematics) , algebra over a field , discrete mathematics , mathematical analysis , psychology , social psychology , biochemistry , chemistry , physics , natural language processing , computer science , acoustics , gene

We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's 11-summation formula. We also obtain a generalization of Jacobi's triple product identity

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