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Analytic / CONCEPT

The Zeta Distribution as an Integer Gibbs Measure

The zeta distribution is the Gibbs measure for logarithmic integer energy.

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THEOREM

The partition function is finite above one

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The Zeta Distribution as an Integer Gibbs MeasureThe Zeta Distribution as anInteger Gibbs MeasureAnalytic: Prime Exponent LawAnalytic: Prime Exponent LawAnalytic: Zeta EntropyAnalytic: Zeta EntropyAnalytic: Zeta Renyi EntropyAnalytic: Zeta Renyi EntropyThe Sharp Threshold for Positive Prime EvidenceThe Sharp Threshold forPositive Prime Evidence
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/ZetaGibbs
Repository path
D5/S3/Analytic/ZetaGibbs.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
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745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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