Sommes courtes de certaines fonctions multiplicatives

DOI10.1142/S1793042122500841zbMath1497.11016OpenAlexW4229450554WikidataQ114071813 ScholiaQ114071813MaRDI QIDQ5082486

O. Labihi, Abdelaziz Raouj

Publication date: 16 June 2022

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042122500841

zbMATH Keywords

polynomialsarithmetic progressionmultiplicative functionsshort sumsprime factorsinteger coefficientsShiu theorem

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Arithmetic functions; related numbers; inversion formulas (11A25) Distribution of primes (11N05) Other results on the distribution of values or the characterization of arithmetic functions (11N64) Rate of growth of arithmetic functions (11N56)

Cites Work

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• Short sums of certain arithmetic functions
• A note on the local conjoint laws of the function number of prime factors
• AN EXTENSION TO THE BRUN-TITCHMARSH THEOREM
• Multiplicative functions of polynomial values in short intervals
• A Brun-Titschmarsh theorem for multiplicative functions.
• Multiplikative Funktionen auf schnell wachsenden Folgen.
• On the Sum ∑k=1xd(f(k))

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