On a conjecture of Dekking: the sum of digits of even numbers

DOI10.5802/jtnb.856zbMath1300.11077arXiv1305.1017OpenAlexW2963464772WikidataQ122905204 ScholiaQ122905204MaRDI QIDQ2454441

Thomas Stoll, Daniel El-Baz, Iurie Boreico

Publication date: 13 June 2014

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1017

zbMATH Keywords

sum of digitsDekking's conjectureNewman phenomenon

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (3)

Phénomène de Moser-Newman pour les nombres sans facteur carré ⋮ The existence of \(n\)-flimsy numbers in a given base ⋮ Rarefied Thue-Morse sums via automata theory and logic

Cites Work

• A summation formula related to the binary digits
• Generalized Newman phenomena and digit conjectures on primes
• On the size of the Gelfond exponent
• The fractal structure of rarefied sums of the Thue-Morse sequence
• Newman's phenomenon for generalized Thue-Morse sequences
• Exact exponent in the remainder term of Gelfond's digit theorem in the binary case
• Automatic Sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• On the Number of Binary Digits in a Multiple of Three
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