\(\alpha\)-expansions, linear recurrences, and the sum-of-digits function
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Publication:2277504
DOI10.1007/BF02568381zbMath0725.11005OpenAlexW2081450146MaRDI QIDQ2277504
Peter J. Grabner, Robert F. Tichy
Publication date: 1991
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155592
asymptotic formulasum-of-digits function\(\alpha\)-expansionsdigit expansion of positive integersreal base
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Cites Work
- Contributions to digit expansions with respect to linear recurrences
- On the discrepancy of some special sequences
- 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)
- Digital sum problems and substitutions on a finite alphabet
- Sur la fonction sommatoire de la fonction 'somme des chiffres'
- Simultaneous approximation to algebraic numbers by rationals
- On theβ-expansions of real numbers
- Sur certaines suites uniformément équiréparties modulo 1
- 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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- Unnamed Item
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