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    Ramanujan ϕ-function

    Definition

    The two-argument Ramanujan function is defined by ϕ(a, n) | congruent | 1 + 2 sum_(k = 1)^n 1/((a k)^3 - a k) | = | 1 - 1/a(H_(-1/a) + H_(1/a) + 2H_n - H_(n - 1/a) - H_(n + 1/a)).

    Associated person

    Srinivasa Aiyangar Ramanujan

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