On the mean values of an analytic function.

G. S. Srivastava; Sunita Rani

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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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Complete solutions of a family of cubic Thue equations

Alain Togbé (2006)

Journal de Théorie des Nombres de Bordeaux

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In this paper, we use Baker’s method, based on linear forms of logarithms, to solve a family of Thue equations associated with a family of number fields of degree 3. We obtain all solutions to the Thue equation $\begin{matrix} Φ_{n} (x, y) & = x^{3} + (n^{8} + 2 n^{6} - 3 n^{5} + 3 n^{4} - 4 n^{3} + 5 n^{2} - 3 n + 3) x^{2} y \\ - (n^{3} - 2) n^{2} x y^{2} - y^{3} = \pm 1, \end{matrix}$ for $n \geq 0$ .

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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Lower bounds for a certain class of error functions

J. Herzog, P. R. Smith (1992)

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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.

Weighted composition operators on growth spaces.

Dubtsov, E.S. (2009)

Sibirskij Matematicheskij Zhurnal

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Integral means of analytic mappings by iteration of Janowski functions.

Babalola, K.O. (2010)

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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...