ON THE PRIMES IN FLOOR FUNCTION SETS

DOI10.1017/s0004972722001277arXiv2112.12426OpenAlexW4309677665MaRDI QIDQ6082054

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Publication date: 3 November 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12426

zbMATH Keywords

exponential sumsprime number theoremvon Mangoldt functionexponent pair

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37)

Related Items (1)

Sparse sets that satisfy the prime number theorem

Cites Work

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• The polynomial \(X^2+Y^4\) captures its primes
• On a sum involving the Mangoldt function
• A variant of the prime number theorem
• Note on a paper by Bordellès, Dai, Heyman, Pan and Shparlinski
• Nombres premiers de la forme ⌊n^c⌋
• DISTRIBUTION OF ELEMENTS OF A FLOOR FUNCTION SET IN ARITHMETICAL PROGRESSIONS
• On certain sums of number theory
• Primes in floor function sets
• Cardinality of a floor function set
• On a sum involving the Euler function
• On a sum involving the Euler function
• On the difference between consecutive primes
• Primes represented by \(x^3+ 2y^3\)

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