Infiniteness sets of primes, admitting diophantine representations in eight variables
type: Item
instance of: scholarly article
title: Infiniteness sets of primes, admitting diophantine representations in eight variables
zbMATH Open document ID: 0932.11078
DOI: 10.1007/BF02358993
published in: Journal of Mathematical Sciences (New York)
publication date: 1999-11-22T00:00:00Z
review text: The existence of infinite sets of primes which can be represented as the sets of positive values of some polynomials in a small number of variables is discussed (all variables range over positive integers). It is proved (nonreflexively) that there exists such a set, which has a representation with eight variables. This number of variables is smaller than in the best universal construction known today, which is ten. Also, some improvements of well-known technical lemmas are given.
Mathematics Subject Classification ID: 11U05
Mathematics Subject Classification ID: 03D25
zbMATH DE Number: 1364694
zbMATH Keywords: diophantine representation
zbMATH Keywords: Hilbert's tenth problem
zbMATH Keywords: prime numbers
author: Maxim Vsemirnov
reviewed by: Dimitru Buşneag
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1364694