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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 220, Pages 36–48
(Mi znsl4279)
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This article is cited in 2 scientific papers (total in 2 papers)
Infinite sets of primes, admitting Diophantine representations in eight variables
M. A. Vsemirnov St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
The existence of infinite sets of primes which can be repesented 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 (noneffectively) 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. Bibliography: 16 titles.
Received: 25.02.1994
Citation:
M. A. Vsemirnov, “Infinite sets of primes, admitting Diophantine representations in eight variables”, Studies in constructive mathematics and mathematical logic. Part IX, Zap. Nauchn. Sem. POMI, 220, POMI, St. Petersburg, 1995, 36–48; J. Math. Sci. (New York), 87:1 (1997), 3200–3208
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https://www.mathnet.ru/eng/znsl4279 https://www.mathnet.ru/eng/znsl/v220/p36
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Abstract page: | 217 | Full-text PDF : | 90 |
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