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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.
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