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Analogue of Ramanujan's function k(τ) for the continued fraction of order six

Analogue of Ramanujan's function k(τ) for the continued fraction of order six

Abstract We study the modularity of the function w(τ ) = X(τ )X(3τ ), where X(τ ) is the continued fraction of order six introduced by Vasuki, Bhaskar and Sharath (2010). The function w(τ ) is an analogue of Ramanujan’s function k(τ ) = r(τ )r(2τ ) 2 , where …