On the convergence of the Euler harmonic series.

From: Smarandache Notions Journal | Date: January 1, 2000| Author: | Copyright information

Abstract: The aim of this article is to study the convergence of the Euler harmonic series. Firstly, the results concerning the convergence of the Smarandache and Erdos harmonic functions are reviewed Secondly, the Euler harmonic series is proved to be convergent for a > 1 , and divergent otherwise. Finally, the sums of the Euler harmonic series are given.

Key words: series, convergence, Euler function.

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The purpose of this article is to introduce the Euler harmonic series and to study its convergence. This problem belongs to a new research direction in ...

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