317 research outputs found

    On Generalized Riemann Hypothesis

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    This work as a natural followup to our previous work on the Riemann hypothesis. In this work we shall demonstrate our approach in the previous work can resolve the generalized Riemann hypothesis for an non-principal primitive Dirichlet as well.Comment:

    Scaled Asymptotics For Some qq-Series

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    In this work we investigate the asymptotics for Euler's qq-Exponential Eq(z)E_{q}(z), qq-Gamma function Ξ“q(z)\Gamma_{q}(z), Ramanujan's function Aq(z)A_{q}(z), Jackson's qq-Bessel function JΞ½(2)J_{\nu}^{(2)}(z;q) of second kind, Stieltjes-Wigert orthogonal polynomials Sn(x;q)S_{n}(x;q) and qq-Laguerre polynomials Ln(Ξ±)(x;q)L_{n}^{(\alpha)}(x;q) as qq approaching 1.Comment: 18page
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