АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ

DOI10.22405/2226-8383-2017-18-4-97-105zbMath1434.11193OpenAlexW2811048949MaRDI QIDQ5108816

D. V. Goryashin, A. V. Begunts

Publication date: 6 May 2020

Published in: Чебышевский сборник (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb599

zbMATH Keywords

Beatty sequencesprime numberssumsinteger sequencemean value of number-theoretic function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Special sequences and polynomials (11B83) Primes in congruence classes (11N13)

Cites Work

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• The least prime number in a Beatty sequence
• On the exceptional set in a Goldbach-type binary problem
• Primzahlen der Gestalt \([f(n)\)]
• A note on a result of Abercrombie
• Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions
• The least quadratic nonresidue in an arithmetic sequence
• Power nonresidues modulo a prime number in a special greatest integer-sequence
• Prime divisors in Beatty sequences
• Short character sums with Beatty sequences
• SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
• Arithmetic functions on Beatty sequences
• Prime numbers with Beatty sequences
• A note on the least quadratic non-residue of the integer-sequences
• On the representation of a natural number as a sum of three almost equal terms generated by primes
• Slow Beatty Sequences, Devious Convergence, and Partitional Divergence
• Beatty sequences and multiplicative number theory
• АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ
• Representations of integers as sums of primes from a Beatty sequence
• On sums of primes from Beatty sequences
• Density of non-residues in Burgess-type intervals and applications
• Non-residues and primitive roots in Beatty sequences
• Exponential sums with multiplicative coefficients
• Some additive problems of Goldbach's type

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