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On some applications of the new forms of the reciprocity theorems

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In his lost notebook, Ramanujan has stated a beautiful two variable reciprocity theorem. In the recent past, three and four variable generalizations of the reciprocity theorem of Ramanujan were established. In this paper, we present a number of interesting applications of the new symmetric forms of the reciprocity theorems.

Abstract

In his lost notebook, Ramanujan has stated a beautiful two variable reciprocity theorem. In the recent past, three and four variable generalizations of the reciprocity theorem of Ramanujan were established. In this paper, we present a number of interesting applications of the new symmetric forms of the reciprocity theorems.

참고문헌 (26)

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  13. C. G. J. Jacobi, "Fundamenta Nova Theoriae Funtionum Ellipticarum Sumptibus Fratrum Borntr¨ager", pp.1969~ (1829), Regiomonti
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  22. D. D. Somashekara, "On the reciprocity theorem of Ramanujan and its Generalizations", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 15(3), pp.343~353 (2012), 장전수학회
  23. D. D. Somashekara, "Finite forms of reciprocity theorems", International Journal of Mathematical Combinatorics, 4, pp.01~14 (2013)
  24. D. D. Somashekara, "On new forms of the reciprocity theorems"
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