On some mean value results involving .

Ivić, A.

Displaying similar documents to “On some mean value results involving $| ζ (1 / 2 + i t) |$ .”

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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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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Functions of slow increase and integer sequences.

Jakimczuk, Rafael (2010)

Journal of Integer Sequences [electronic only]

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Weighted composition operators on growth spaces.

Dubtsov, E.S. (2009)

Sibirskij Matematicheskij Zhurnal

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On certain sums over ordinates of zeta-zeros

A. Ivić (2001)

Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques

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Some remarks on a paper of L. Tóth.

De Koninck, Jean-Marie, Kátai, Imre (2010)

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Discrepancy estimates for a class of normal numbers

Yoshinobu Nakai, Iekata Shiokawa (1992)

Acta Arithmetica

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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.

Approximation of values of hypergeometric functions by restricted rationals

Carsten Elsner, Takao Komatsu, Iekata Shiokawa (2007)

Journal de Théorie des Nombres de Bordeaux

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We compute upper and lower bounds for the approximation of hyperbolic functions at points $1 / s$ $(s = 1, 2, \dots)$ by rationals $x / y$ , such that $x, y$ satisfy a quadratic equation. For instance, all positive integers $x, y$ with $y \equiv 0 (mod 2)$ solving the Pythagorean equation $x^{2} + y^{2} = z^{2}$ satisfy $| y sinh (1 / s) - x | ≫ \frac{log log y}{log y} .$ Conversely, for every $s = 1, 2, \dots$ there are infinitely many coprime integers $x, y$ , such that $| y sinh (1 / s) - x | ≪ \frac{log log y}{log y}$ and $x^{2} + y^{2} = z^{2}$ hold simultaneously for some integer $z$ . A generalization to the approximation of $h (e^{1 / s})$ for rational...

On the mean square of the zeta-function and the divisor problem.

Ivić, Aleksandar (2007)

Annales Academiae Scientiarum Fennicae. Mathematica

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Displaying similar documents to “On some mean value results involving | ζ ( 1 / 2 + i t ) | .”

Displaying similar documents to “On some mean value results involving $| ζ (1 / 2 + i t) |$ .”