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THE SUM OF DIGITS FUNCTION IN NUMBER FIELDS
Published online by Cambridge University Press: 01 January 1998
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.
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- © The London Mathematical Society 1998
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