Finite generating functions for the sum-of-digits sequence

DOI10.1007/s11139-018-0065-0zbMath1464.11016arXiv1708.06479OpenAlexW2963423000WikidataQ128954116 ScholiaQ128954116MaRDI QIDQ2283805

Tanay Wakhare, Christophe Vignat

Publication date: 13 January 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06479

zbMATH Keywords

Hurwitz zeta functioninfinite productssum-of-digitsLambert transform

Mathematics Subject Classification ID

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

Related Items (2)

Digit sums and generating functions ⋮ Nonconventional limits of random sequences related to partitions of integers

Uses Software

• DLMF

Cites Work

• Summation of series defined by counting blocks of digits
• On the Barnes double zeta and gamma functions
• Generating Special Arithmetic Functions by Lambert Series Factorizations
• The Number of Solutions to Linear Diophantine Equations and Multivariate Splines
• Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
• Automatic Sequences
• On Barnes' multiple zeta and gamma functions
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