We give new bounds for âa,m,nαmβnνae([Formula presented]) where αm, βnand νaare arbitrary coefficients, improving upon a result of Duke, Friedlander and Iwaniec [7]. We also apply these bounds to problems on representations by determinant equations and on the equidistribution of solutions to linear equations.
Trilinear forms with Kloosterman fractions
Bettin, Sandro;
2018
Abstract
We give new bounds for âa,m,nαmβnνae([Formula presented]) where αm, βnand νaare arbitrary coefficients, improving upon a result of Duke, Friedlander and Iwaniec [7]. We also apply these bounds to problems on representations by determinant equations and on the equidistribution of solutions to linear equations.
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