Publication

Some applications of smooth bilinear forms with Kloosterman sums

Philippe Michel
2017
Journal Articles

Abstract

We revisit a recent bound of I. Shparlinski and T. Zhang on bilinear forms with Kloosterman sums, and prove an extension for correlation sums of Kloosterman sums against Fourier coefficients of modular forms. We use these bounds to improve on earlier results on sums of Kloosterman sums along the primes and on the error term of the fourth moment of Dirichlet L-functions.

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Some applications of smooth bilinear forms with Kloosterman sums

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