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On the Arithmetic Structure of Sets Characterized by Sum of Digits Properties

✍ Scribed by Christian Mauduit; Andràs Sárközy

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
577 KB
Volume
61
Category
Article
ISSN
0022-314X

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✦ Synopsis

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 factors of n and 0(n) the number of prime factors of n counted with multiplicity.

Let g # N, m # N be fixed with we write

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