Sum of digits and change of base

DOI10.5802/aif.3300zbMath1455.11018arXiv1806.09670OpenAlexW2982532122WikidataQ126856784 ScholiaQ126856784MaRDI QIDQ2333210

Thomas Stoll, Régis de la Bretèche, Gérald Tenenbaum

Publication date: 12 November 2019

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.09670

zbMATH Keywords

multiplicative independencesum of digitsexponent of irrationalitybinomial recentering

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Diophantine approximation in probabilistic number theory (11K60)

Cites Work

• Unnamed Item
• On the irrationality measure of \(\log 3\)
• On the irrationality measure of \(\ln 3\)
• Dérivabilité ponctuelle d’une intégrale liée aux fonctions de Bernoulli
• On a problem of Steinhaus about normal numbers
• Automatic Sequences
• Sums of the Digits in Bases 2 and 3
• On the base-dependence of sets of numbers recognizable by finite automata
• A sharpening of the bounds for linear forms in logarithms
• Uniform tag sequences

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