Average Bounds for Kloosterman Sums Over Primes
A. J. Irving
TL;DR
This paper establishes improved average bounds for Kloosterman sums over primes, advancing the understanding of their behavior and providing tighter estimates than previous results.
Contribution
It introduces two new estimates for averages of Kloosterman sums over primes, improving upon earlier bounds by Fouvry-Shparlinski and Baker.
Findings
Enhanced bounds for Kloosterman sums over primes.
Comparison showing improvement over previous estimates.
Potential applications to analytic number theory problems.
Abstract
We prove two estimates for averages of sums of Kloosterman fractions over primes. The first of these improves previous results of Fouvry-Shparlinski and Baker.
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Taxonomy
TopicsAnalytic Number Theory Research · Limits and Structures in Graph Theory · Finite Group Theory Research