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.
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
@article{10_4153_CMB_1999_008_0,
author = {Gittenberger, Bernhard and Thuswaldner, J\"org M.},
title = {The {Moments} of the {Sum-Of-Digits} {Function} in {Number} {Fields}},
journal = {Canadian mathematical bulletin},
pages = {68--77},
year = {1999},
volume = {42},
number = {1},
doi = {10.4153/CMB-1999-008-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-008-0/}
}
TY - JOUR AU - Gittenberger, Bernhard AU - Thuswaldner, Jörg M. TI - The Moments of the Sum-Of-Digits Function in Number Fields JO - Canadian mathematical bulletin PY - 1999 SP - 68 EP - 77 VL - 42 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-008-0/ DO - 10.4153/CMB-1999-008-0 ID - 10_4153_CMB_1999_008_0 ER -
%0 Journal Article %A Gittenberger, Bernhard %A Thuswaldner, Jörg M. %T The Moments of the Sum-Of-Digits Function in Number Fields %J Canadian mathematical bulletin %D 1999 %P 68-77 %V 42 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-008-0/ %R 10.4153/CMB-1999-008-0 %F 10_4153_CMB_1999_008_0
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