Beatty primes from fractional powers of almost-primes

DOI10.1016/j.indag.2023.04.004arXiv2109.00536OpenAlexW3198542688MaRDI QIDQ6080765

Victor Zhenyu Guo, Jin Jiang Li, Min Zhang

Publication date: 25 October 2023

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.00536

zbMATH Keywords

exponential sumBeatty sequencealmost-primePiatetski-Shapiro prime

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Distribution of primes (11N05) Approximation to algebraic numbers (11J68)

Cites Work

• Piatetski-Shapiro primes from almost primes
• Nombres premiers de la forme ⌊n^c⌋
• Prime numbers of the form [nc]
• Prime numbers with Beatty sequences
• Some extremal functions in Fourier analysis
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• Points Entiers Au Voisinage D'une Courbe, Sommes Trigonométriques Courtes ET Paires D'exposants
• The lattice point problem of many-dimensional hyperboloids I
• Rational approximations to algebraic numbers
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