Post Closed as "not a real question" by George Lowther, Chandan Singh Dalawat, Marc Palm, Gerry Myerson, Felipe Voloch

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What is the riemann zeta function in the critical strip i.e in 0 Real(s) in [0,1]. I know the formula of riemann function when Re(s)>1 i.e f(s)= 1 + 1/2^s + 1/3^s ... But this doesnt converge for Re(s)<1.So I want to know which formula of riemann zeta is used for Real(s) in [0,1].

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Riemann zeta Function in critical strip

What is the riemann zeta function in the critical strip i.e in 0