The sum of digits function in number fields: distribution in residue classes

DOI10.1006/jnth.1998.2317zbMath0932.11068OpenAlexW2053677435MaRDI QIDQ1284202

Jörg M. Thuswaldner

Publication date: 14 March 2000

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2317

zbMATH Keywords

sum of digits functioncanonical number systemnumber fieldresidue class

Mathematics Subject Classification ID

Distribution of integers in special residue classes (11N69) Radix representation; digital problems (11A63) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (4)

The sum-of-digits function of canonical number systems: distribution in residue classes ⋮ Unnamed Item ⋮ The complex sum of digits function and primes ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems

Cites Work

• On the arithmetic structure of sets characterized by sum of digits properties
• Canonical number systems in imaginary quadratic fields
• The Moments of the Sum-Of-Digits Function in Number Fields
• The Sum of Digits Function In Number Fields
• The distribution of the sum of digits (\bmod𝑝)
• Sur les nombres qui ont des propriétés additives et multiplicatives données
• On Exponential Sums Over an Algebraic Number Field
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