Digital sum problems and substitutions on a finite alphabet

DOI10.1016/0022-314X(91)90054-FzbMath0736.11007OpenAlexW2008663797MaRDI QIDQ1179021

Alain Thomas, Jean Marie Dumont

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90054-f

zbMATH Keywords

asymptotic formulasubstitutiondigital sumsnowhere differentiable functionoscillating sums

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Automata sequences (11B85)

Related Items (13)

Associativity of recurrence multiplication ⋮ Surminimisation of Automata ⋮ Infinite self-similar words ⋮ Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1 ⋮ The asymptotic distribution of elements in automatic sequences ⋮ Unnamed Item ⋮ Persistence of wandering intervals in self-similar affine interval exchange transformations ⋮ Substitutions, coding prescriptions and integer representation ⋮ Symbolic discrepancy and self-similar dynamics. ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence ⋮ \(\alpha\)-expansions, linear recurrences, and the sum-of-digits function ⋮ The signature of rational languages ⋮ Arithmetic and dynamical properties of the Rauzy fractal

Cites Work

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• A summation formula related to the binary digits
• Contributions to digit expansions with respect to linear recurrences
• A summation formula involving Fibonacci digits
• On digit expansions with respect to linear recurrences
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• On sums of Rudin-Shapiro coefficients. II
• Sur la fonction sommatoire de la fonction 'somme des chiffres'
• Scaling properties of a structure intermediate between quasiperiodic and random.
• WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATION
• Systems of Numeration
• A Correlated Digital Sum Problem Associated with Sums of Three Squares
• Suites algébriques, automates et substitutions
• Uniform tag sequences
• On algebraic equations with all but one root in the interior of the unit circle. To my teacher and former colleague Erhard Schmidt on his 75th birthday

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