On certain sums over ordinates of zeta-zeros

A. Ivić

Displaying similar documents to “On certain sums over ordinates of zeta-zeros”

On some mean value results involving |zeta(1/2+ it)|

A. Ivić (2003)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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On some mean value results involving $| ζ (1 / 2 + i t) |$ .

Ivić, A. (2003)

Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques

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On zeta-functions associated to certain cusp forms. I

A. Laurinčikas, J. Steuding (2004)

Open Mathematics

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In the paper the asymptotics for Dirichlet polynomials associated to certain cusp forms are obtained.

Higher regularizations of zeros of cuspidal automorphic $L$ -functions of ${GL}_{d}$

Masato Wakayama, Yoshinori Yamasaki (2011)

Journal de Théorie des Nombres de Bordeaux

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We establish “higher depth” analogues of regularized determinants due to Milnor for zeros of cuspidal automorphic $L$ -functions of ${GL}_{d}$ over a general number field. This is a generalization of the result of Deninger about the regularized determinant for zeros of the Riemann zeta function.

Omega result for the error term in the mean square formula for Dirichlet $L$ -functions.

Lau, Yuk-Kam, Tsang, Kai-Man (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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On a problem of Fujii concerning Riemann's $ζ$ -function.

Puchta, J.-C. (2001)

Acta Mathematica Universitatis Comenianae. New Series

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A bound for the torsion in the $K$ -theory of algebraic integers.

Soulé, Christophe (2003)

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Functions of slow increase and integer sequences.

Jakimczuk, Rafael (2010)

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On the mean values of an analytic function.

G. S. Srivastava, Sunita Rani (1992)

Annales Polonici Mathematici

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Let f(z), $z = r e^{i θ}$ , be analytic in the finite disc |z| < R. The growth properties of f(z) are studied using the mean values $I_{δ} (r)$ and the iterated mean values $N_{δ, k} (r)$ of f(z). A convexity result for the above mean values is obtained and their relative growth is studied using the order and type of f(z).

On $(p, q)$ -th order of a function of two complex variables analytic in the unit polydisc

Ratan Kumar Dutta (2012)

Kragujevac Journal of Mathematics

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