On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences

DOI10.1007/s11139-022-00684-zarXiv2104.11701OpenAlexW3157879069MaRDI QIDQ6171148

Mehdi Hassani, Jean-Marc Deshouillers, Mohammad Nasiri-Zare

Publication date: 17 July 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11701

zbMATH Keywords

distribution modulo 1Euler's totient functionSegal-Piatetski-Shapiro sequences

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Sequences (mod (m)) (11B50) Special sequences (11K31)

Cites Work

• Distribution modulo 1 of a linear sequence associated to a multiplicative function evaluated at polynomial arguments
• Sequences, discrepancies and applications
• On the distribution of some means concerning the Euler function
• RANDOMNESS AND NON‐RANDOMNESS PROPERTIES OF PIATETSKI‐SHAPIRO SEQUENCES MODULO m
• On some new questions on the distribution of prime numbers
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