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Ramanujan identity

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11: Bibliography S
  • L. Shen (1998) On an identity of Ramanujan based on the hypergeometric series F 1 2 ( 1 3 , 2 3 ; 1 2 ; x ) . J. Number Theory 69 (2), pp. 125–134.
  • 12: 20.11 Generalizations and Analogs
    §20.11(ii) Ramanujan’s Theta Function and q -Series
    Ramanujan’s theta function f ( a , b ) is defined by …
    §20.11(iii) Ramanujan’s Change of Base
    These results are called Ramanujan’s changes of base. …
    13: 24.7 Integral Representations
    The identities in this subsection hold for n = 1 , 2 , . …
    14: 17.8 Special Cases of ψ r r Functions
    Ramanujan’s ψ 1 1 Summation
    Quintuple Product Identity
    15: Bibliography M
  • S. C. Milne (1985b) An elementary proof of the Macdonald identities for A l ( 1 ) . Adv. in Math. 57 (1), pp. 34–70.
  • S. C. Milne (2002) Infinite families of exact sums of squares formulas, Jacobi elliptic functions, continued fractions, and Schur functions. Ramanujan J. 6 (1), pp. 7–149.
  • S. C. Milne (1996) New infinite families of exact sums of squares formulas, Jacobi elliptic functions, and Ramanujan’s tau function. Proc. Nat. Acad. Sci. U.S.A. 93 (26), pp. 15004–15008.