## Some applications of smooth bilinear forms with Kloosterman sums

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.

Published in:
Proceedings Of The Steklov Institute Of Mathematics, 296, 1, 18-29
Year:
2017
Publisher:
New York, Maik Nauka/Interperiodica/Springer
ISSN:
0081-5438
Laboratories: