On the Integral Part of a Linear form with Prime Variables
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 621-628
Voir la notice de l'article provenant de la source Cambridge University Press
The object of this paper is to prove the following:Theorem. Suppose that λ, μ are real non-zero numbers, not both negative, λ is irrational, and k is a positive integer. Then there exist infinitely many primes p and pairs of primes p1, p2 such that In particular [λp1 + μp 2] represents infinitely many primes.Here [x] denotes the greatest integer not exceeding x.
Danicic, I. On the Integral Part of a Linear form with Prime Variables. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 621-628. doi: 10.4153/CJM-1966-061-3
@article{10_4153_CJM_1966_061_3,
author = {Danicic, I.},
title = {On the {Integral} {Part} of a {Linear} form with {Prime} {Variables}},
journal = {Canadian journal of mathematics},
pages = {621--628},
year = {1966},
volume = {18},
number = {1},
doi = {10.4153/CJM-1966-061-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1966-061-3/}
}
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