Littlewood And Duffin Schaeffer Type Problems In Diophantine Approximation


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Littlewood and Duffin-Schaeffer-type Problems in Diophantine Approximation


Littlewood and Duffin-Schaeffer-type Problems in Diophantine Approximation

Author: Sam Chow

language: en

Publisher: Ams American Mathematical Society

Release Date: 2024


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"Gallagher's theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallagher's theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville fibres. Along the way, we prove an inhomogeneous version of the Duffin-Schaeffer conjecture for a class of nonmonotonic approximation functions"--

Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation


Littlewood and Duffin–Schaeffer-Type Problems in Diophantine Approximation

Author: Sam Chow

language: en

Publisher: American Mathematical Society

Release Date: 2024-05-15


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On Singularity Properties of Word Maps and Applications to Probabilistic Waring Type Problems


On Singularity Properties of Word Maps and Applications to Probabilistic Waring Type Problems

Author: Itay Glazer

language: en

Publisher: American Mathematical Society

Release Date: 2024-08-19


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View the abstract.