Behaviour of the argument of the Riemann zeta function on the critical line
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 3, pp. 389-482
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Theorems on the number of zeros of the Riemann zeta function in quadrangles of small height that are placed to the right of the critical line are proved and used to prove theorems on the behaviour of the argument of the zeta function on the critical line.
@article{RM_2006_61_3_a0,
author = {A. A. Karatsuba and M. A. Korolev},
title = {Behaviour of the argument of the {Riemann} zeta function on the critical line},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {389--482},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2006_61_3_a0/}
}
TY - JOUR AU - A. A. Karatsuba AU - M. A. Korolev TI - Behaviour of the argument of the Riemann zeta function on the critical line JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 2006 SP - 389 EP - 482 VL - 61 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_2006_61_3_a0/ LA - en ID - RM_2006_61_3_a0 ER -
%0 Journal Article %A A. A. Karatsuba %A M. A. Korolev %T Behaviour of the argument of the Riemann zeta function on the critical line %J Trudy Matematicheskogo Instituta imeni V.A. Steklova %D 2006 %P 389-482 %V 61 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/RM_2006_61_3_a0/ %G en %F RM_2006_61_3_a0
A. A. Karatsuba; M. A. Korolev. Behaviour of the argument of the Riemann zeta function on the critical line. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 3, pp. 389-482. http://geodesic.mathdoc.fr/item/RM_2006_61_3_a0/