The argument of the Riemann zeta-function on the critical line
Izvestiya. Mathematics , Tome 67 (2003) no. 2, pp. 225-264
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We prove a new density theorem for the zeros of the Riemann zeta-function in the critical strip, and apply it to the problem of the number of sign changes of the argument of the zeta-function on almost all short intervals of the critical line.
@article{IM2_2003_67_2_a2,
author = {M. A. Korolev},
title = {The argument of the {Riemann} zeta-function on the critical line},
journal = {Izvestiya. Mathematics },
pages = {225--264},
publisher = {mathdoc},
volume = {67},
number = {2},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2003_67_2_a2/}
}
M. A. Korolev. The argument of the Riemann zeta-function on the critical line. Izvestiya. Mathematics , Tome 67 (2003) no. 2, pp. 225-264. http://geodesic.mathdoc.fr/item/IM2_2003_67_2_a2/