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Khintchine-type theorems via \(L^2\) estimates for Siegel transform

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Kleinbock, Dmitry

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Khintchine-type theorems via \(L^2\) estimates for Siegel transform
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20
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Recently there has been a surge of activity in quantifying the density of values of generic quadratic forms at integer points. I will present some new and quite general results in this direction obtained via the so-called Siegel-Rogers method, which has recently been utilized by Athreya and Margulis, and later by Kelmer and Yu. This work is joint with Mishel Skenderi.