The Sum of Digits Function In Number Fields

DOI10.1112/S0024609397003731zbMath0921.11051OpenAlexW2010548738MaRDI QIDQ4354184

Jörg M. Thuswaldner

Publication date: 14 September 1997

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609397003731

zbMATH Keywords

asymptotic formulacanonical number systemssum of digits functionmaximal orders of number fields

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (6)

q-ADDITIVE FUNCTIONS ON POLYNOMIAL SEQUENCES ⋮ The summatory function of \(q\)-additive functions on pseudo-polynomial sequences ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ The sum of digits function in number fields: distribution in residue classes ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in the Gaussian number field

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