A. A. Karatsuba, M. A. Korolev, “Behaviour of the argument of the Riemann zeta function on the critical line”, Uspekhi Mat. Nauk, 2006, Volume 61, Issue 3(369),Pages <nobr>3

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Behaviour of the argument of the Riemann zeta function on the critical line

A. A. Karatsuba^a, M. A. Korolev^b

^a Steklov Mathematical Institute, Russian Academy of Sciences
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 511

MSC: Primary 11M06; Secondary 11M26

Received: 15.01.2006

DOI: 10.4213/rm1741