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Cercles de remplissage for the Riemann Zeta Function

Open Access article
 Printed: Mar 2003
  • P. M. Gauthier
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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.
Keywords: cercles de remplissage, Riemann zeta function cercles de remplissage, Riemann zeta function
MSC Classifications: 30 show english descriptions unknown classification 30 30 - unknown classification 30

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