Geodesic
Cercles de remplissage for the Riemann Zeta Function
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 95-97

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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.
DOI : 10.4153/CMB-2003-009-3
Mots-clés : 30, cercles de remplissage, Riemann zeta function 
Gauthier, P. M. Cercles de remplissage for the Riemann Zeta Function. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 95-97. doi: 10.4153/CMB-2003-009-3
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