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

Published online by Cambridge University Press:  20 November 2018

Bernhard Gittenberger  and
Jörg M. Thuswaldner
Bernhard Gittenberger
Affiliation:
Department of Algebra and Discrete Mathematics Technische Universität Wien Wiedner Hauptstraße 8-10/118 A-1040 Wien Austria
Jörg M. Thuswaldner
Affiliation:
Department of Mathematics and Statistics Montanuniversität Leoben Franz-Josef-Straße 18 A-8700 Leoben Austria
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Abstract

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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.

Keywords

11A6311N60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 42 , Issue 1 , 01 March 1999 , pp. 68 - 77
Copyright
Copyright © Canadian Mathematical Society 1999

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