Kloosterman sums with Beatty sequences and application

DOI10.1216/rmj.2023.53.807OpenAlexW4385079380MaRDI QIDQ6176507

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Publication date: 23 August 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-3/KLOOSTERMAN-SUMS-WITH-BEATTY-SEQUENCES-AND-APPLICATION/10.1216/rmj.2023.53.807.full

zbMATH Keywords

Kloosterman sumexponential summodular hyperbolaBeatty sequence

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Gauss and Kloosterman sums; generalizations (11L05) Congruences in many variables (11D79) Special sequences and polynomials (11B83)

Related Items (1)

Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas

Cites Work

• Kloosterman sums with twice-differentiable functions
• Distribution of lattice points visible from the origin
• Construction of pseudorandom binary sequences using additive characters
• Modular hyperbolas
• Modular hyperbolas and Beatty sequences
• Consecutive quadratic residues and primitive roots in the sequences formed by twice-differentiable functions
• Prime divisors in Beatty sequences
• Short character sums with Beatty sequences
• Modular constructions of pseudorandom binary sequences with composite moduli
• Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas
• SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
• MULTIPLICATIVE CHARACTER SUMS WITH TWICE-DIFFERENTIABLE FUNCTIONS
• Non-residues and primitive roots in Beatty sequences
• Rational approximations to algebraic numbers
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