Geodesic
Lower Bounds for the Riemann Zeta Function on the Critical Line
Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 922-927
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We establish a relation between the lower bound for the maximum of the modulus of $\zeta(1/2+iT+s)$ in the disk $|s|\le H$ and the lower bound for the maximum of the modulus of $\zeta(1/2+iT+it)$ on the closed interval $|t|\le H$ for $0. We prove a theorem on the lower bound for the maximum of the modulus of $0 on the closed interval $|t|\le H$ for $40\le H(T)\le\log\log T$. 
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     author = {M. E. Changa},
     title = {Lower {Bounds} for the {Riemann} {Zeta} {Function} on the {Critical} {Line}},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a12/}
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M. E. Changa. Lower Bounds for the Riemann Zeta Function on the Critical Line. Matematičeskie zametki, Tome 76 (2004) no. 6, pp. 922-927. http://geodesic.mathdoc.fr/item/MZM_2004_76_6_a12/

[1] Karatsuba A. A., “O nizhnikh otsenkakh dzeta-funktsii Rimana”, Dokl. RAN, 376:1 (2001), 15–16 | MR | Zbl

[2] Karatsuba A. A., “O nizhnikh otsenkakh maksimuma modulya $\zeta(s)$ v malykh oblastyakh kriticheskoi polosy”, Matem. zametki, 70:5 (2001), 796–798 | MR

[3] Garaev M. Z., “Concerning the Karatsuba conjectures”, Taiwanese J. Math., 6:4 (2002), 573–580 | MR | Zbl

[4] Balasubramanian R., “On the frequency of Titchmarsh's phenomenon for $\zeta(s)$, IV”, Hardy-Ramanujan J., 9 (1986), 1–10 | MR | Zbl

[5] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953

[6] Prakhar K., Raspredelenie prostykh chisel, Mir, M., 1967