Geodesic
Lower bounds for the maximum modulus of the Riemann zeta function on short segments of the critical line
Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1157-1163

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A lower bound is found for the maximum modulus of the Riemann zeta function on segments of the critical line whose length does not exceed the double logarithm of the distance from the centre of the segment to the origin. 
@article{IM2_2004_68_6_a4,
     author = {A. A. Karatsuba},
     title = {Lower bounds for the maximum modulus of the {Riemann} zeta function on short segments of the critical line},
     journal = {Izvestiya. Mathematics },
     pages = {1157--1163},
     publisher = {mathdoc},
     volume = {68},
     number = {6},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a4/}
}
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A. A. Karatsuba. Lower bounds for the maximum modulus of the Riemann zeta function on short segments of the critical line. Izvestiya. Mathematics , Tome 68 (2004) no. 6, pp. 1157-1163. http://geodesic.mathdoc.fr/item/IM2_2004_68_6_a4/