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

  Published:1999-03-01
 Printed: Mar 1999
  • Bernhard Gittenberger
  • Jörg M. Thuswaldner
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Abstract

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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