A short note on some arithmetical properties of the integer part of alpha p

DOI10.3906/mat-1809-43zbMath1455.11109OpenAlexW2946870718WikidataQ127769297 ScholiaQ127769297MaRDI QIDQ5229838

Yıldırım Akbal

Publication date: 19 August 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1809-43

zbMATH Keywords

exponential sumsarithmetic progressionsBeatty sequencesshifted primes

Mathematics Subject Classification ID

Arithmetic progressions (11B25) Special sequences (11K31)

Related Items (1)

k-Free numbers and integer parts of αp

Cites Work

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• Primes of the form \(\lfloor \alpha p+\beta \rfloor\)
• Prime divisors in Beatty sequences
• Prime analogues of the Erdős-Kac theorem for elliptic curves
• PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS
• SUMS OF MULTIPLICATIVE FUNCTIONS OVER A BEATTY SEQUENCE
• Arithmetic functions on Beatty sequences
• Prime numbers with Beatty sequences
• On the distribution of αp modulo 1
• Beatty sequences and multiplicative number theory
• The Number of Representations of an Integer as the Sum of a Prime and a k-Free Integer
• On the Distribution of Additive Number-Theoretic Functions
• Rational approximations to algebraic numbers

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