On the powerful part of
Jan-Christoph Puchta (2003)
Archivum Mathematicum
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We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
Jan-Christoph Puchta (2003)
Archivum Mathematicum
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We show that is powerfull for integers at most, thus answering a question of P. Ribenboim.
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 to have real part in class . This condition contains the classical one of Zygmund; other variants are also given.
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 with if is -free ( a fixed integer), else, and . 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.
Khristo N. Boyadzhiev (1994)
Collectanea Mathematica
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