For citation:
Naumenko A. P. On the Distribution of the Numbers with Binary Expansions of a Special Type in Arithmetic Progressions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 4, pp. 34-37. DOI: 10.18500/1816-9791-2008-8-4-34-37
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
17.11.2008
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Language:
Russian
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UDC:
511
On the Distribution of the Numbers with Binary Expansions of a Special Type in Arithmetic Progressions
Autors:
Naumenko Anton Pavlovich, Federal State Autonomous Educational Institution of Higher Education ”Belgorod State University”
Abstract:
Let 2 be the primitive root mod p. Let N0 be a set of natural numbers whose binary expansions contain even numbers of 1. Numbers from N0 are uniformly distributed in arithmetic progressions with the difference p.
Key words:
References:
- Gelfond A.O. Sur les nombres qui ont des proprietes additives et multiplicatives donnies // Acta Arith. 1968. V. XIII. P. 259–265.
- Айерленд К., Роузен М. Классическое введение в современную теорию чисел. М.: Мир, 1987.
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