Geodesic
Sign changes of the function $S(t)$ on short intervals
Izvestiya. Mathematics , Tome 69 (2005) no. 4, pp. 719-731.

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In this paper, we study sign changes of the function $S(t)$ on short intervals of the real line. It is proved that, for almost all values of $T$, there is a point at which $S(t)$ changes sign and whose distance from $T$ does not exceed $4.39\ln\ln\ln\ln T$. 
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M. A. Korolev. Sign changes of the function $S(t)$ on short intervals. Izvestiya. Mathematics , Tome 69 (2005) no. 4, pp. 719-731. http://geodesic.mathdoc.fr/item/IM2_2005_69_4_a3/

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