- #1
srijithju
- 57
- 0
Could anyone tell me what is the Riemann zeta function. On Wikipedia , the definition has been given for values with real part > 1 , as :
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
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