The Moments of the Sum-Of-Digits Function in Number Fields
Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 68-77

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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.
DOI : 10.4153/CMB-1999-008-0
Mots-clés : 11A63, 11N60
Gittenberger, Bernhard; Thuswaldner, Jörg M. The Moments of the Sum-Of-Digits Function in Number Fields. Canadian mathematical bulletin, Tome 42 (1999) no. 1, pp. 68-77. doi: 10.4153/CMB-1999-008-0
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     title = {The {Moments} of the {Sum-Of-Digits} {Function} in {Number} {Fields}},
     journal = {Canadian mathematical bulletin},
     pages = {68--77},
     year = {1999},
     volume = {42},
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     doi = {10.4153/CMB-1999-008-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-008-0/}
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