Digital sums and divide-and-conquer recurrences: Fourier expansions and absolute convergence

DOI10.1007/s00365-004-0561-xzbMath1088.11063OpenAlexW2092519674MaRDI QIDQ1772233

Peter J. Grabner, Hsien-Kuei Hwang

Publication date: 15 April 2005

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-004-0561-x

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Dirichlet series, exponential series and other series in one complex variable (30B50) Arithmetic functions in probabilistic number theory (11K65)

Related Items (10)

On the number of optimal base 2 representations of integers ⋮ Partial factorizations of products of binomial coefficients ⋮ q-ADDITIVE FUNCTIONS ON POLYNOMIAL SEQUENCES ⋮ Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated ⋮ Identities and periodic oscillations of divide-and-conquer recurrences splitting at half ⋮ The summatory function of \(q\)-additive functions on pseudo-polynomial sequences ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Asymptotic analysis of regular sequences ⋮ Output sum of transducers: limiting distribution and periodic fluctuation ⋮ Dirichlet series associated to sum-of-digits functions

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