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

DOI10.1016/J.JNT.2023.01.017OpenAlexW4360603750MaRDI QIDQ2700687

Huaning Liu, Mengyao Jing

Publication date: 27 April 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2023.01.017

zbMATH Keywords

Kloosterman sumexponential summodular hyperbolaPiatetski-Shapiro 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)

Kloosterman sums with Beatty sequences and application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kloosterman sums with twice-differentiable functions
• 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
• Construction of pseudorandom binary sequences by using the multiplicative inverse
• Piatetski-Shapiro sequences
• MULTIPLICATIVE CHARACTER SUMS WITH TWICE-DIFFERENTIABLE FUNCTIONS
• Some extremal functions in Fourier analysis
• CHARACTER SUMS WITH PIATETSKI-SHAPIRO SEQUENCES
• Non-residues and primitive roots in Beatty sequences
• Construction of large families of pseudorandom binary sequences
• Kloosterman sums with Beatty sequences and application

This page was built for publication: Exponential sums with Piatetski-Shapiro sequences and their application to modular hyperbolas