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On the frequency of Titchmarsh’s phenomenon for ζ(s)-VIII |
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| Authors: | R Balasubramanian K Ramachandra A Sankaranarayanan |
| Institution: | (1) The Institute of Mathematical Sciences, 600113 Madras, India;(2) School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Bombay, India |
| Abstract: | For suitable functionsH = H(T) the maximum of|(ζ(σ + it)) z | taken overT≤t≤T + H is studied. For fixed σ(1/2≤σ≤l) and fixed complex constantsz “expected lower bounds” for the maximum are established. |
| Keywords: | Riemann zeta-function frequency Titchmarsh’ s phenomenon |
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