Asian Research Journal of Mathematics

On Series of Transformed Zeta Function

Aeran Kim *

A Private Mathematics Academy, 1-# 406, 23, Maebong 5-gil, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54921, Republic of Korea.

*Author to whom correspondence should be addressed.

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Abstract

We transform a zeta function to the alternative sum as and represent it as
some series, for example

etc., where (s)n = s(s + 1) ... (s + n-1), Re(s) > 1, and we obtain their formulas.

 

Keywords: Zeta function.

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