Points Entiers Au Voisinage D'une Courbe, Sommes Trigonométriques Courtes ET Paires D'exposants

DOI10.1112/plms/s3-70.2.285zbMath0852.11042OpenAlexW1970243124MaRDI QIDQ4837817

Patrick Sargos

Publication date: 5 December 1996

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-70.2.285

zbMATH Keywords

exponential sumsexponent pairsBombieri-Iwaniec methodpoints near a curve

Mathematics Subject Classification ID

Small fractional parts of polynomials and generalizations (11J54) Trigonometric and exponential sums (general theory) (11L03)

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On van der Corput's \(k\)-th derivative test for exponential sums ⋮ A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value ⋮ An analogue of Van der Corput's A ⁵ ‐process for exponential sums ⋮ Rational points on an intersection of diagonal forms ⋮ kth powers in Piatetski-Shapiro sequences ⋮ Integer points in the neighborhood of a plane curve of class \(C^n\). II ⋮ On a Diophantine equation with prime variables ⋮ Beatty primes from fractional powers of almost-primes ⋮ Roth-type theorem for quadratic system in Piatetski-Shapiro primes ⋮ Piatetski-Shapiro primes in arithmetic progressions ⋮ Diophantine inequalities over Piatetski-Shapiro primes ⋮ Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences ⋮ Decoupling, exponential sums and the Riemann zeta function ⋮ Piatetski-Shapiro primes in the intersection of multiple Beatty sequences

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