Geodesic
On Large Values of the Function~$S(t)$ on Short Intervals
Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 495-502

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We prove a theorem on upper and lower bounds for the argument $S(t)$ of the Riemann zeta function on short intervals of the critical line.
Keywords: Riemann zeta function, prime number, Riemann hypothesis, Selberg's formula. 
@article{MZM_2011_89_4_a1,
     author = {R. N. Boyarinov},
     title = {On {Large} {Values} of the {Function~}$S(t)$ on {Short} {Intervals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {495--502},
     publisher = {mathdoc},
     volume = {89},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a1/}
}
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R. N. Boyarinov. On Large Values of the Function~$S(t)$ on Short Intervals. Matematičeskie zametki, Tome 89 (2011) no. 4, pp. 495-502. http://geodesic.mathdoc.fr/item/MZM_2011_89_4_a1/