A new approximate functional equation for Hurwitz zeta function for rational parameter |
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Authors: | Vivek V Rane |
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Institution: | (1) Department of Mathematics, Institute of Science, 15, Madam Cama Road, 400 032 Mumbai, India |
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Abstract: | For Hurwitz zeta function ζ(s, (a/k)) witha = 1,2,3,…,k, we obtain a new simple approximate functional equation (uniform ink andt) in critical strip. Our method should prove to be an alternative approach to Atkinson’s method in dealing with
, whereL(s, x) is Dirichlet L-series moduloq and s = σ +it. |
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Keywords: | Hurwitz zeta function DirichletL-series |
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