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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