Means of some arithmetical functions on shifted smooth numbers in arithmetic progression

DOI10.1007/s12044-019-0521-9zbMath1454.11019OpenAlexW2951018292WikidataQ127681998 ScholiaQ127681998MaRDI QIDQ2422817

Khadija Mbarki, Walid Wannes

Publication date: 21 June 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-019-0521-9

zbMATH Keywords

exponential sumsmooth numberssum of digits function

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Trigonometric and exponential sums (general theory) (11L03) Distribution of primes (11N05)

Cites Work

• On the order of magnitude of some arithmetical functions under digital constraint. I
• Valeurs moyennes de fonctions multiplicatives sur les entiers friables translatés
• On the distribution of the Euler function of shifted smooth numbers
• Entiers Sans Grand Facteur Premier En Progressions Arithmetiques
• Integers, without large prime factors, in arithmetic progressions. II
• Moyennes de certaines fonctions multiplicatives sur les entiers friables
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• Sur les fonctions q-additives ou q-multiplicatives
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