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1 results

  • Cercles de remplissage for the Riemann Zeta Function

  • P. M. Gauthier
  • Journal:
    Canadian Mathematical Bulletin / Volume 46 / Issue 1 / 01 March 2003
    Published online by Cambridge University Press:
    20 November 2018, pp. 95-97
    Print publication:
    01 March 2003
    • Article
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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.