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Values of random polynomials in shrinking targets

By Dubi Kelmer and Shucheng Yu
Relying on the classical second moment formula of Rogers we give an effective asymptotic formula for the number of integer vectors \(v\) in a ball of radius \(t\), with value \(Q(v)\) in a shrinking interval of size \(t^{-\kappa}\), that is valid for almost all indefinite quadratic forms in \(n\) variables... Show more
December 11, 2018
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Values of random polynomials in shrinking targets
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