Effective Equidistribution of Nilflows and Bounds onWeyl Sums

DOI10.1017/9781316402696.004zbMath1461.37006OpenAlexW2547377502MaRDI QIDQ4557485

Giovanni Forni

Publication date: 23 November 2018

Full work available at URL: https://doi.org/10.1017/9781316402696.004

zbMATH Keywords

Weyl sumsWeyl boundsBorel-Cantelli argumentequidistribution for nilflows

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Related Items (5)

Effective equidistribution for generalized higher-step nilflows ⋮ Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ Mixing for smooth time-changes of general nilflows ⋮ Multiple mixing and disjointness for time changes of bounded-type Heisenberg nilflows

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