The sum-of-digits function of canonical number systems: distribution in residue classes

DOI10.1016/j.jnt.2012.05.023zbMath1296.11006OpenAlexW2059557308MaRDI QIDQ455786

Manfred G. Madritsch

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.023

zbMATH Keywords

canonical number systemresidue classessum of digits

Mathematics Subject Classification ID

Density theorems (11R45) Radix representation; digital problems (11A63)

Related Items (1)

Defining Multiplication in Some Additive Expansions of Polynomial Rings

Cites Work

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• Asymptotic normality of additive functions on polynomial sequences in canonical number systems
• On the arithmetic structure of sets characterized by sum of digits properties
• The sum of digits function in number fields: distribution in residue classes
• Generalized radix representations and dynamical systems. I
• Canonical number systems in imaginary quadratic fields
• New criteria for canonical number systems
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• On Exponential Sums Over an Algebraic Number Field
• Classical theory of algebraic numbers
• Self-similar lattice tilings
• On canonical number systems

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