Müntz formula and zero free regions for the Riemann zeta function |
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| Authors: | Sergio Albeverio |
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| Institution: | a Abt. Stochastik, Inst. Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, Germany; SFB 611 Bonn; IZKS, Bonn; BiBoS; Acc. Architettura, Mendrisio; CERFIM, Locarno
b Abt. Stochastik, Inst. Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, Germany |
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| Abstract: | A formula first derived by Müntz which relates the Riemann zeta function ζ times the Mellin transform of a test function f and the Mellin transform of the theta transform of f is exploited, together with other analytic techniques, to construct zero free regions for ζ(s) with s in the critical strip. Among these are regions with a shape independent of Res. |
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| Keywords: | 11M26 11M06 11F27 42A38 |
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