Understanding the Zeta function, without getting lost in the tricky paths of advanced complex analysis

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Scientific Essay from the year 2013 in the subject Mathematics - Number Theory, , language: English, abstract: Realizing that the study of Zeta function ~(s) is dependent on the Gamma function I(s) , a function that I know well for s=x ER, I decided to search for the Zeta function in the internet ie: to get an overall satisfactory idea about the Zeta function ~(s) s=(o+i.t).