Not signed in (Sign In)

Start a new discussion

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Discussion Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • 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

    βTr(exp(βH BostConnes)) \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 0 β s1(Tr(exp(βH))1)dβ. s \mapsto \int_0^\infty \beta^{s-1} \left(Tr(\exp(- \beta H)) -1\right)\; d \beta \,.

    Hm.

Add your comments
  • Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
  • To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

  • (Help)