Variations on Yano's extrapolation theorem.

David E. Edmunds; Miroslav Krbec

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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 Krasnér's theorem for the first case of Fermat's last theorem

Vijay Jha (1994)

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A constant in pluripotential theory

Zbigniew Błocki (1992)

Annales Polonici Mathematici

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We compute the constant sup $(1 / d e g P) (m a x_{S} l o g | P | - \int_{S} l o g | P | d σ)$ : P a polynomial in $ℂ^{n}$ , where S denotes the euclidean unit sphere in $ℂ^{n}$ and σ its unitary surface measure.

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 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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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 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).

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

Soulé, Christophe (2003)

Documenta Mathematica

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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.