Fourier-Bohr spectrum of sequences related to continued fractions

DOI10.1016/0022-314X(83)90050-1zbMath0521.10044OpenAlexW1981999557MaRDI QIDQ1055479

Jean Coquet, Georges Rhin, Philippe Toffin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-314x(83)90050-1

zbMATH Keywords

exponential sumscontinued fraction expansionadditive functionlacunary sequencesum of digitsFourier-Bohr spectrummean value zerouniform distribution mod one

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) General theory of distribution modulo (1) (11K06) Arithmetic functions in probabilistic number theory (11K65)

Related Items (2)

Dynamical directions in numeration ⋮ Pseudorandomness of the Ostrowski sum-of-digits function

Cites Work

• Représentations des entiers naturels et indépendance statistique. II
• Les suites à spectre vide et la répartition modulo 1
• Indépendance statistique d'ensembles liés à la fonction "somme des chiffres"
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