On Weyl sums over primes in short intervals
Angel V. Kumchev
TL;DR
This paper extends previous estimates of Weyl sums over primes to the case of short intervals, providing new bounds and insights into their behavior in this more constrained setting.
Contribution
The paper introduces novel bounds for Weyl sums over primes in short intervals, advancing understanding beyond earlier long-interval estimates.
Findings
Extended bounds for Weyl sums over primes in short intervals
Improved understanding of Weyl sums' behavior in constrained ranges
New techniques for analyzing sums over primes in short intervals
Abstract
The main results extend to sums over primes in a short interval earlier estimates by the author for "long" Weyl sums over primes.
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