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Cercles de remplissage for the Riemann Zeta Function
Published online by Cambridge University Press: 20 November 2018
Abstract
The celebrated theorem of Picard asserts that each non-constant entire function assumes every value infinitely often, with at most one exception. The Riemann zeta function has this Picard behaviour in a sequence of discs lying in the critical band and whose diameters tend to zero. According to the Riemann hypothesis, the value zero would be this (unique) exceptional value.
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- Copyright © Canadian Mathematical Society 2003
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