Über die Werte der Riemannschen Zetafunktion an den ganzzahligen Stellen.
Über die Wirksamkeit einiger Abschätzungen trigonometrischer Summen
Über eine quasi-periodische Eigenschaft Dirichletscher Reihen mit Anwendung auf die Dirichletschen L-Funktionen
Über eine Verallgemeinerung des Tschebyschef-Problems.
Über nullstellenfreie Gebiete von ...(k) (s).
Über Vorzeigewechsel einiger arithmetischer Funktionen. I.
Ueber das quadratische Mittel der Riemannschen Zetafunktion auf der kritischen Linie.
Une région explicite sans zéros pour la fonction ζ de Riemann
Une remarque sur la dérivée logarithmique de la fonction zêta de Riemann
Universality results on Hurwitz zeta-functions
In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
Upper bounds for the density of universality
Upper bounds for the density of universality. II
We prove explicit upper bounds for the density of universality for Dirichlet series. This complements previous results [15]. Further, we discuss the same topic in the context of discrete universality. As an application we sharpen and generalize an estimate of Reich concerning small values of Dirichlet series on arithmetic progressions in the particular case of the Riemann zeta-function.
Upper bounds for the moments of derivatives of Dirichlet L-functions
In this paper, we give certain upper bounds for the 2k-th moments, k ≥ 1/2, of derivatives of Dirichlet L-functions at s = 1/2 under the assumption of the Generalized Riemann Hypothesis.
v-adic Zeta Functions, L-series and Measures for Function Fields.
Valeurs en s=1 de fonctions L
Variation of the argument of the Riemann ξ function on vertical lines
Verwendung der Zeta-Funktion beim Sieb von Selberg
Zeros and poles of Dirichlet series
Under certain mild analytic assumptions one obtains a lower bound, essentially of order , for the number of zeros and poles of a Dirichlet series in a disk of radius . A more precise result is also obtained under more restrictive assumptions but still applying to a large class of Dirichlet series.
Zeros of Dirichlet L-series on the critical line
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...
Zeros of the Riemann Zeta-function on the critical line.