Some analogies between number theory and dynamical systems on foliated spaces (Q1129843)

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scientific article; zbMATH DE number 1194146
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Some analogies between number theory and dynamical systems on foliated spaces
scientific article; zbMATH DE number 1194146

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    Some analogies between number theory and dynamical systems on foliated spaces (English)
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    24 August 1998
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    Summary: In this article we describe what a cohomology theory related to zeta and \(L\)-functions for algebraic schemes over the integers should look like. We then point out some striking analogies with the leafwise reduced cohomology of certain foliated dynamical systems.
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    \(L\)-functions of motives
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    leafwise cohomology
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    dynamical systems
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    foliations
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    \(L\)-functions
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    zeta functions
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