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Arithmetical properties of permutations of integers

✍ Scribed by P. Erdős; R. Freud; N. Hegyvári

Publisher
Akadmiai Kiad
Year
1983
Tongue
English
Weight
363 KB
Volume
41
Category
Article
ISSN
1588-2632

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In this paper, we show that given any finite set, D = {D 1, D2, ..., D.}, of positive integers, with gcd (D~, D 2 .... ,D.) = 1, there is a permutation of the positive integers such that the absolute value of the difference between any two consecutive values is in D. Further, it is possible to choos

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Consider all the integers not exceeding x with the property that in the system number to base g all their digits belong to a given set D/[0, 1, ..., g, &1]. The distribution of these integers in residue classes to ``not very large'' moduli is studied. 1998 Academic Press SECTION 1 Throughout this pa