Universal interpolating sequences on some function spaces

Bahmann Yousefi; B. Tabatabaie

Displaying similar documents to “Universal interpolating sequences on some function spaces”

On the powerful part of $n^{2} + 1$

Jan-Christoph Puchta (2003)

Archivum Mathematicum

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We show that $n^{2} + 1$ is powerfull for $O (x^{2 / 5 + ϵ})$ integers $n \leq x$ at most, thus answering a question of P. Ribenboim.

A value-distribution criterion for the class $L \log L$ and some related questions

M. Essen, D. F. Shea, C. S. Stanton (1985)

Annales de l'institut Fourier

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We give a necessary and sufficient condition for an analytic function in $H^{1}$ to have real part in class $L$ $log L$ . This condition contains the classical one of Zygmund; other variants are also given.

On the value distribution of a class of arithmetic functions

Werner Georg Nowak (1996)

Commentationes Mathematicae Universitatis Carolinae

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This article deals with the value distribution of multiplicative prime-independent arithmetic functions $(α (n))$ with $α (n) = 1$ if $n$ is $N$ -free ( $N \geq 2$ a fixed integer), $α (n) > 1$ else, and $α (2^{n}) \to \infty$ . An asymptotic result is established with an error term probably definitive on the basis of the present knowledge about the zeros of the zeta-function. Applications to the enumerative functions of Abelian groups and of semisimple rings of given finite order are discussed.

Displaying similar documents to “Universal interpolating sequences on some function spaces”

On the powerful part of n 2 + 1

A value-distribution criterion for the class L log L and some related questions

On the value distribution of a class of arithmetic functions

On the powerful part of $n^{2} + 1$

A value-distribution criterion for the class $L \log L$ and some related questions