On irregularities of distribution of weighted sums-of-digits

DOI10.1016/J.DISC.2010.09.020zbMath1217.11010OpenAlexW1971814352MaRDI QIDQ615988

Heidrun Zellinger, Gerhard Larcher

Publication date: 7 January 2011

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2010.09.020

zbMATH Keywords

sum-of-digitsdistribution of Niederreiter--Halton sequencesirregularities of distributionNewman's phenomenonweighted sum-of-digits

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Irregularities of distribution, discrepancy (11K38)

Related Items (3)

Rarefied Thue-Morse sums via automata theory and logic ⋮ Coquet-type formulas for the rarefied weighted Thue-Morse sequence ⋮ On the race between primes with an odd versus an even sum of the last \(k\) binary digits

Cites Work

• A summation formula related to the binary digits
• Average growth-behavior and distribution properties of generalized weighted digit-block-\-counting functions
• On the distribution properties of Niederreiter-Halton sequences
• Newman's phenomenon for generalized Thue-Morse sequences
• DISTRIBUTION PROPERTIES OF GENERALIZED VAN DER CORPUT–HALTON SEQUENCES AND THEIR SUBSEQUENCES
• On existence and discrepancy of certain digital Niederreiter–Halton sequences
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• On the Number of Binary Digits in a Multiple of Three
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