On the reciprocity theorem of Ramanujan and its applications

Authors

  • D. D. Somashekara
  • K. N. Vidya

DOI:

https://doi.org/10.1285/i15900932v38n2p117

Keywords:

Basic hypergeometric series, reciprocity theorem, Jacobi's triple product identity, quintuple product identity, partition function

Abstract

In this paper, we give two new proofs of the reciprocity theorem of Ramanujan found in his lost notebook. We derive the well-known quintuple product identity using the reciprocity theorem. Further we obtain two interesting partition theoretic identities from the reciprocity theorem.

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Published

08-01-2019

Issue

Volume 38, Issue 2 (2018)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode