Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions

DOI10.1007/s00605-007-0513-1zbMath1169.11006OpenAlexW1987920061MaRDI QIDQ938318

Gerhard Larcher, Friedrich Pillichshammer, Roswitha Hofer

Publication date: 19 August 2008

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-007-0513-1

zbMATH Keywords

digit functionsdigit-block-counting function

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) General theory of distribution modulo (1) (11K06) Arithmetic functions in probabilistic number theory (11K65)

Related Items (7)

Uniform distribution of the weighted sum-of-digits functions ⋮ On irregularities of distribution of weighted sums-of-digits ⋮ Distribution of the sum-of-digits function of random integers: a survey ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence ⋮ On the distribution properties of Niederreiter-Halton sequences ⋮ DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT–HALTON SEQUENCES AND THEIR SUBSEQUENCES ⋮ Polynomial values in affine subspaces of finite fields

Cites Work

• Sequences, discrepancies and applications
• Mellin transforms and asymptotics: Digital sums
• Subblock Occurrences in the q-Ary Representation of n
• A Note on Gray Code and Odd-Even Merge
• Power and Exponential Sums of Digital Sums Related to Binomial Coefficient Parity
• An Explicit Expression for Binary Digital Sums
• Moments of the Weighted Sum-of-Digits Function

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