Prime numbers with Beatty sequences
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Publication:3615234
DOI10.4064/cm115-2-1zbMath1167.11010arXiv0708.1015OpenAlexW2963922669MaRDI QIDQ3615234
William D. Banks, Igor E. Shparlinski
Publication date: 18 March 2009
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.1015
Special sequences and polynomials (11B83) Primes in congruence classes (11N13) Trigonometric and exponential sums (general theory) (11L03)
Related Items (24)
Primes of the form \(\lfloor \alpha p+\beta \rfloor\) ⋮ Piatetski-Shapiro sequences via Beatty sequences ⋮ k-Free numbers and integer parts of αp ⋮ Strings of special primes in arithmetic progressions ⋮ Bounded gaps between primes in special sequences ⋮ Möbius formulas for densities of sets of prime ideals ⋮ Beatty primes from fractional powers of almost-primes ⋮ Limitations to equidistribution in arithmetic progressions ⋮ АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ ⋮ Some problems about friable numbers in Piatetski-Shapiro sequence ⋮ On a variant of the prime number theorem ⋮ Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions ⋮ Irregularities in the Distribution of Prime Numbers in a Beatty Sequence ⋮ Leading Digits of Mersenne Numbers ⋮ Modular hyperbolas and Beatty sequences ⋮ Gaps between primes in Beatty sequences ⋮ PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS ⋮ A short note on some arithmetical properties of the integer part of alpha p ⋮ A variant of the prime number theorem ⋮ A generalization of Piatetski-Shapiro sequences ⋮ Primes with Beatty and Chebotarev conditions ⋮ Metric results on summatory arithmetic functions on Beatty sets ⋮ Piatetski-Shapiro primes in a Beatty sequence ⋮ Residue pattern for infinitely many primes
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