Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-30T20:51:46.707Z Has data issue: false hasContentIssue false
  • English
  • Français

THE SUM OF DIGITS FUNCTION IN NUMBER FIELDS

Published online by Cambridge University Press:  01 January 1998

JÖRG M. THUSWALDNER
JÖRG M. THUSWALDNER
Affiliation:
Institut für Mathematik und Angewandte Geometrie, Abteilung für Mathematik und Statistik, Montanuniversität Leoben, Franz-Josef-Straße 18, A–8700 Leoben, Austria
Get access

Abstract

In this paper we are concerned with the asymptotic description of the sum of digits function of canonical number systems in number fields. We derive an asymptotic formula for its summatory function whose second term contains a periodic fluctuation. In imaginary quadratic fields this function is uniformly distributed with respect to the argument.

Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 30 , Issue 1 , January 1998 , pp. 37 - 45
Copyright
© The London Mathematical Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)