Abstract.
We consider the g-ary expansion N=∑ k b k (N, g)g k of non-negative integers N and prove various results on the distribution and the mean value of the k-th digit b k (N, g) if g varies in an interval of the form 2≤g≤N η. As an application we also consider the average value of the sum-of-digits function s(N, g)=∑ k b k (N, g).
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Received 5 November 2001
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ID="a" Dedicated to Professor Edmund Hlawka on the occasion of his 85th birthday
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Drmota, M., Schoissengeier, J. Digital Expansions with Respect to Different Bases. Monatsh. Math. 138, 31–59 (2003). https://doi.org/10.1007/s006050300000
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DOI: https://doi.org/10.1007/s006050300000