On digit sums of multiples of an integer

DOI10.1016/j.jnt.2009.04.003zbMath1241.11113OpenAlexW1993969215MaRDI QIDQ841266

Pantelimon Stănică, Cécile Dartyge, Florian Luca

Publication date: 15 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.04.003

zbMATH Keywords

sum of digitsCarmichael lambda functionSturdy numbers

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (5)

Computational aspects of sturdy and flimsy numbers ⋮ The existence of \(n\)-flimsy numbers in a given base ⋮ Additive properties of subgroups of finite index in fields ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Thue-Morse at multiples of an integer

Uses Software

• OEIS

Cites Work

• Sums of digits of multiples of integers
• On a problem of Oppenheim concerning Factorisatio Numerorum
• Exponential sum estimates over subgroups of \(\mathbb Z^*_q\), \(q\) arbitrary
• On the distribution in residue classes of integers with a fixed sum of digits
• Carmichael's lambda function
• Integers with a large friable component
• Uniform Distribution of Fractional Parts Related to Pseudoprimes
• Integers whose multiples have anomalous digital frequencies
• The joint distribution of the binary digits of integer multiples
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