SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE

DOI10.1017/S0004972708000853zbMath1228.11151OpenAlexW2078215748MaRDI QIDQ3540993

Ahmet M. Güloğlu, C. Wesley Nevans

Publication date: 25 November 2008

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

Full work available at URL: https://doi.org/10.1017/s0004972708000853

zbMATH Keywords

Beatty sequencessums of multiplicative functions

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Special sequences and polynomials (11B83)

Related Items (16)

Cancellation of two classes of dirichlet coefficients over Beatty sequences ⋮ k-Free numbers and integer parts of αp ⋮ Consecutive generalized \(r\)-free integers in Beatty sequences ⋮ DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET ⋮ АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ ⋮ Sparse sets that satisfy the prime number theorem ⋮ Kloosterman sums with Beatty sequences and application ⋮ Beatty sequences and prime numbers with restrictions on strongly \(q\)-additive functions ⋮ Primes in floor function sets ⋮ Modular hyperbolas and Beatty sequences ⋮ On a sum involving the Euler function ⋮ A short note on some arithmetical properties of the integer part of alpha p ⋮ АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ ⋮ АКТУАЛЬНЫЕ ЗАДАЧИ, СВЯЗАННЫЕ С ПОСЛЕДОВАТЕЛЬНОСТЯМИ БИТТИ ⋮ Metric results on summatory arithmetic functions on Beatty sets ⋮ On \(r\)-free integers in Beatty sequences

Cites Work

• An error term of Ramanujan
• The Second-Order Term in the Asymptotic Expansion of B(x)
• Exponential sums with multiplicative coefficients
• Unnamed Item

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