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Zero-free regions for ζ(s)
Published online by Cambridge University Press: 26 February 2010
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Hitherto, little use has been made of the well-known representation
of the Riemann zeta-function, ζ(s), within the critical strip l = {s:s = σ + it, 0 < σ < 1}. Certain variants of (1) have been used to deduce the functional equation of ζ(s), while a simple consequence of (1) itself is that ζ(s) does not vanish on the positive real axis.
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