Laurent Expansion of Dirichlet Series-II.
U. Balakrishnan (1987)
Monatshefte für Mathematik
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Displaying similar documents to “The Mean Square of Dirichlet Series Associated with Automorphic Forms.”
Laurent Expansion of Dirichlet Series-II.
The universality of zeta-functions attached to certain cusp forms
Antanas Laurinčikas, Kohji Matsumoto (2001)
Acta Arithmetica
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Gaps Between Consecutive Zeros of the Riemann Zeta-Function on the Critical Line.
A. Ivic, M. Jutila (1988)
Monatshefte für Mathematik
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Applications of special functions for the general linear group to number theory
Audrey Terras (1976-1977)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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On the structure of the Selberg class, VI: non-linear twists
J. Kaczorowski, A. Perelli (2005)
Acta Arithmetica
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The joint universality and the generalized strong recurrence for Dirichlet L-functions
Takashi Nakamura (2009)
Acta Arithmetica
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On the Error Term in the Mean Square Formula for the Riemann Zeta-Function in the Critical Strip.
Aleksandar Ivic, K. Matsumoto (1996)
Monatshefte für Mathematik
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Characteristic Twists of a Dirichlet series for Siegel Cusp Forms.
W. Kohnen, J. Sengupta, A. Krieg (1995)
Manuscripta mathematica
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On higher-power moments of Δ(x) (III)
Wenguang Zhai (2005)
Acta Arithmetica
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On an Effective Order Estimate of the Riemann Zeta Function in the Critical Strip.
K.M. Bartz (1990)
Monatshefte für Mathematik
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Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions
Yu. Matiyasevich, F. Saidak, P. Zvengrowski (2014)
Acta Arithmetica
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As usual, let s = σ + it. For any fixed value of t with |t| ≥ 8 and for σ < 0, we show that |ζ(s)| is strictly decreasing in σ, with the same result also holding for the related functions ξ of Riemann and η of Euler. The following inequality related to the monotonicity of all three functions is proved: ℜ (η'(s)/η(s)) < ℜ (ζ'(s)/ζ(s)) < ℜ (ξ'(s)/ξ(s)). It is also shown that extending the above monotonicity result for |ζ(s)|, |ξ(s)|, or |η(s)|...
Upper bounds for the density of universality. II
Jörn Steuding (2005)
Acta Mathematica Universitatis Ostraviensis
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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.
Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial.
D.R. Heath-Brown, J.B. Conrey (1985)
Journal für die reine und angewandte Mathematik
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