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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeAug 25th 2014
• (edited Aug 25th 2014)

started some minimum at Bost-Connes system.

Hm, it seems that the statement is that that partition function of the BC-system

$\beta \mapsto Tr(\exp(- \beta H_{BostConnes}))$

is the Riemann zeta function. But by the pertinent analogies the zeta functions are not supposed to equal partition functions, but to be related to them by the transformation

$s \mapsto \int_0^\infty \beta^{s-1} \left(Tr(\exp(- \beta H)) -1\right)\; d \beta \,.$

Hm.