1. CMB 2003 (vol 46 pp. 95)
|Cercles de remplissage for the Riemann Zeta Function |
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