Variation of the argument of the Riemann ξ function on vertical lines
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Xiannan Li (2009)
Acta Arithmetica
Jeffrey C. Lagarias (2005)
Acta Arithmetica
Bob Hough (2012)
Acta Arithmetica
Peter J. Bauer (2000)
Acta Arithmetica
Introduction. In 1974, N. Levinson showed that at least 1/3 of the zeros of the Riemann ζ-function are on the critical line ([19]). Today it is known (Conrey, [6]) that at least 40.77% of the zeros of ζ(s) are on the critical line and at least 40.1% are on the critical line and are simple. In [16] and [17], Hilano showed that Levinson's original result is also valid for Dirichlet L-series. This paper is a shortened version of parts of the dissertation [3], the full details of...
D.R. Heath-Brown (1993)
Mathematische Zeitschrift
H. von Mangoldt (1895)
Journal für die reine und angewandte Mathematik
H. von Mangoldt (1905)
Mathematische Annalen
Н.А. Широков (1992)
Zapiski naucnych seminarov POMI
Anatoliĭ Alekseevich Karatsuba (1994)
Mathematica Slovaca
В.А. Быковский (1994)
Zapiski naucnych seminarov POMI
Ján Mozer (1998)
Mathematica Slovaca
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