Analysis of digital functions and applications

DOI10.1017/CBO9780511777653.010zbMath1216.68205OpenAlexW2488369978MaRDI QIDQ5393503

Michael Drmota, Peter J. Grabner

Publication date: 18 April 2011

Published in: Combinatorics, Automata and Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/cbo9780511777653.010

zbMATH Keywords

multiplicative functionsdigital functionscompletely additive functionsasymptotic analysis of digital functionsdistributional resultsdivide-and-conquer recursionsMellin-Perron techniquesstatistics on digital functions

Mathematics Subject Classification ID

Combinatorics on words (68R15) Formal languages and automata (68Q45) Radix representation; digital problems (11A63) Automata sequences (11B85) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (11)

Partial factorizations of products of binomial coefficients ⋮ PROPRIÉTÉS LOCALES DES CHIFFRES DES NOMBRES PREMIERS ⋮ Analysis of Summatory Functions of Regular Sequences: Transducer and Pascal's Rhombus ⋮ Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated ⋮ Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences ⋮ Redundancy of minimal weight expansions in Pisot bases ⋮ Some properties of a Rudin-Shapiro-like sequence ⋮ Effective Erdős-Wintner theorems for digital expansions ⋮ The signature of rational languages ⋮ Asymptotic analysis of regular sequences ⋮ Output sum of transducers: limiting distribution and periodic fluctuation

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