On the sum of digits of real numbers represented in the dyadic system.
β Scribed by A. S. Besicovitch
- Publisher
- Springer
- Year
- 1935
- Tongue
- English
- Weight
- 353 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Canonical number systems are the natural generalization of q-adic number systems to number fields. Such number systems admit a certain representation of each algebraic integer of a given number field with respect to the powers of a given base number b. The aim of this paper is to study the sum of di
Throughout this paper, we use the following notations: we denote by Z (resp. N) the set of integers (resp. positive integers) and we write l 1 =log N, l 2 =log log N, l 3 =log log log N and e(:)=e 2i?: . If f(n)=O(g(n)), then we write f (n)< <g(n). We denote by |(n) the number of distinct prime fact
Let Q=[Q j ] j=0 be a strictly increasing sequence of integers with Q 0 =1 and such that each Q j is a divisor of Q j+1 . The sequence Q is a numeration system in the sense that every positive integer n has a unique ``base-Q'' representation of the form n= j 0 a j (n) Q j with ``digits'' a j (n) sat