Geodesic
On the function~$S(t)$
Izvestiya. Mathematics , Tome 60 (1996) no. 5, pp. 901-931

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We prove a theorem on the density of zeros of the Riemann function $\zeta(s)$ in narrow rectangles of neighbourhoods of the critical line and theorems on moments and the number of changers of sign of $S(t)$ on short intervals on the real line. 
@article{IM2_1996_60_5_a3,
     author = {A. A. Karatsuba},
     title = {On the function~$S(t)$},
     journal = {Izvestiya. Mathematics },
     pages = {901--931},
     publisher = {mathdoc},
     volume = {60},
     number = {5},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a3/}
}
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A. A. Karatsuba. On the function~$S(t)$. Izvestiya. Mathematics , Tome 60 (1996) no. 5, pp. 901-931. http://geodesic.mathdoc.fr/item/IM2_1996_60_5_a3/