On the distribution of numbers of a special form
type: Item
instance of: scholarly article
title: On the distribution of numbers of a special form
zbMATH Open document ID: 0842.11034
DOI: 10.1007/BF02113304
author: Sh. Kh. Tutushev
published in: Mathematical Notes
publication date: 1995-09-24T00:00:00Z
review text: Let a set of arithmetic progressions \(\{kx+ \ell_i\}\) modulo \(k\) be given such that \((k, \ell_i)=1\), \(i=1, 2, \dots, r\), \(1\leq r\leq \varphi (k)\), where \(\varphi (k)\) is the Euler function. Let \(R\) denote the set of natural numbers whose canonical forms contain only prime numbers from this set. This paper considers the distribution of numbers of \(R\) in residue classes modulo \(q\).
Mathematics Subject Classification ID: 11N69
Mathematics Subject Classification ID: 11N25
zbMATH DE Number: 796791
zbMATH Keywords: arithmetic progressions
zbMATH Keywords: distribution of numbers
reviewed by: Ekkehard Krätzel
MaRDI profile type: Publication
cites work: Q5683986
cites work: Q3253828
cites work: Q4002576
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description: scientific article; zbMATH DE number 796791