Could anyone tell me what is the Riemann zeta function. On Wikipedia , the definition has been given for values with real part > 1 , as :(adsbygoogle = window.adsbygoogle || []).push({});

Sum ( 1 / ( n^-s) ) as n varies from 1 to infinity.

but what is the definition for other values of s ? It is mentioned that the zeta function is the analytic continuation of the above definition for other values of s.

But what exactly do we mean by Analytic continuation ?

Please explain in simple terms as I am not accustomed to mathematical language

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# What is Riemann zeta function.

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