Almost primes in Piatetski-Shapiro sequences

DOI10.3934/math.2021554OpenAlexW3174756790MaRDI QIDQ2671019

Victor Zhenyu Guo

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021554

zbMATH Keywords

almost primesPiatetski-Shapiro sequencesexponent pair

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Special sequences and polynomials (11B83)

Related Items (1)

Additive energy and a large sieve inequality for sparse sequences

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• Primzahlen der Gestalt \([f(n)\)]
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• On Pjateckiǐ-Šapiro prime number theorem
• Nombres premiers de la forme ⌊n^c⌋
• Prime numbers of the form [nc]
• Some extremal functions in Fourier analysis
• On the Pjateckii-Sapiro Prime Number Theorem
• On the distribution of prime numbers of the form [n^c]
• A third derivative test for mean values of exponential sums with application to lattice point problems
• Primes of the form \([n^ c\)]
• Primes of the form \([n^ c\)]

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