The Moments of the Sum-Of-Digits Function in Number Fields

DOI10.4153/CMB-1999-008-0zbMath1011.11009MaRDI QIDQ4262167

Bernhard Gittenberger, Jörg M. Thuswaldner

Publication date: 29 November 1999

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

momentsasymptotic expansionsum-of-digits function

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Other analytic theory (11R47) Distribution functions associated with additive and positive multiplicative functions (11N60)

Related Items (6)

q-ADDITIVE FUNCTIONS ON POLYNOMIAL SEQUENCES ⋮ The summatory function of \(q\)-additive functions on pseudo-polynomial sequences ⋮ The complex sum of digits function and primes ⋮ 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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