Geodesic
An Optimization Problem Related to the Zeta-function
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 70-73

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DOI

S. Golomb noticed that Riemann's zeta function ζ induces a probability distribution on the positive integers, for any s > 1, and studied some of its properties connected to divisibility. The object of this paper is to show that the probability distribution mentioned above is the unique solution of an entropy-maximization problem.
DOI : 10.4153/CMB-1986-013-7
Mots-clés : Riemann's zeta function, Shannon's entropy, the maximum entropy probability distribution., Primary, 10K99, Secondary, 62E15, 94A17 
Guiasu, Silviu. An Optimization Problem Related to the Zeta-function. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 70-73. doi: 10.4153/CMB-1986-013-7
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