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The moments of the zeta-function on the line σ = 1
Published online by Cambridge University Press: 22 January 2016
Extract
The evaluation of the integral
(1.1)
represents one of the fundamental problems of the theory of the Riemann zeta-function (see [4] for a comprehensive account). In view of the functional equation
it is clear that one has to distinguish between the following three principal cases:
a) σ = 1/2 (“the critical line”),
b) 1/2 < σ < 1 (“the critical strip”),
c) σ = 1.
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- Research Article
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1994
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