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Published in:
1986 | OriginalPaper | Chapter
Asymptotic Properties of Arithmetical Functions
Author : Paul J. McCarthy
Published in: Introduction to Arithmetical Functions
Publisher: Springer New York
Included in: Professional Book Archive
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Let us begin with an example. The object is to describe in some meaningful way the behavior of $$ \sum\limits_{{n \leqslant x}} {\tfrac{1}{n}} $$ as a function of the real variable x, for large x. To do this we need the following information.