We consider the asymptotic behavior of the moments of the sum-of-digits function of canonical number systems in number fields. Using Delange's method we obtain the main term and smaller order terms which contain periodic fluctuations.

MSC Classifications:

11A63, 11N60 show english descriptions Radix representation; digital problems {For metric results, see 11K16}
Distribution functions associated with additive and positive multiplicative functions 11A63 - Radix representation; digital problems {For metric results, see 11K16}
11N60 - Distribution functions associated with additive and positive multiplicative functions

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