Consecutive quadratic residues in Beatty sequences

DOI10.1142/s1793042123500574zbMath1523.11147OpenAlexW4310995370MaRDI QIDQ6101985

Unnamed Author, Mengyao Jing

Publication date: 8 May 2023

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

Full work available at URL: https://doi.org/10.1142/s1793042123500574

zbMATH Keywords

character sumquadratic residuepseudo-random sequenceBeatty sequence

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Special sequences and polynomials (11B83) Estimates on character sums (11L40) Pseudo-random numbers; Monte Carlo methods (11K45)

Cites Work

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• On consecutive k-th power residues
• Bounds for consecutive \(k\)-th power residues in the Eisenstein integers
• Equations over finite fields. An elementary approach
• On consecutive quadratic non-residues: a conjecture of Issai Schur.
• On finite pseudorandom binary sequences. VI: On \((n^k\alpha)\) sequences
• On finite pseudorandom binary sequences. V: On \((n\alpha)\) and \((n^2\alpha)\) sequences
• Consecutive quadratic residues and primitive roots in the sequences formed by twice-differentiable functions
• Distribution of residues and primitive roots
• Short character sums with Beatty sequences
• On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
• Non-residues and primitive roots in Beatty sequences
• Construction of large families of pseudorandom binary sequences

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