Cancellations amongst Kloosterman sums
Volume 176 / 2016
Acta Arithmetica 176 (2016), 201-210
MSC: 11L05, 11L07.
DOI: 10.4064/aa8365-6-2016
Published online: 28 October 2016
Abstract
We obtain several estimates for bilinear forms with Kloosterman sums. Such results can be interpreted as a measure of cancellations amongst Kloosterman sums with parameters from short intervals. In particular, for certain ranges of parameters we improve some recent results of Blomer, Fouvry, Kowalski, Michel, and Milićević (2014) and Fouvry, Kowalski and Michel (2014).
