Email this article Elementary Proof of an Estimate for Kloosterman Sums with Primes
- Authors: Korolev M.A.1
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 103, No 5-6 (2018)
- Pages: 761-768
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150868
- DOI: https://doi.org/10.1134/S0001434618050085
- ID: 150868
Cite item
Open Access
Access granted
Subscription Access
Abstract
A new elementary proof of an estimate for incomplete Kloosterman sums modulo a prime q is obtained. Along with Bourgain’s 2005 estimate of the double Kloosterman sum of a special form, it leads to an elementary derivation of an estimate for Kloosterman sums with primes for the case in which the length of the sum is of order q0.5+ε, where ε is an arbitrarily small fixed number.
Keywords
About the authors
M. A. Korolev
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: korolevma@mi.ras.ru
Russian Federation, Moscow
Supplementary files
