Email this article On a Diophantine Inequality with Prime Numbers of a Special Type
- Authors: Tolev D.I.1
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Affiliations:
- Faculty of Mathematics and Informatics
- Issue: Vol 299, No 1 (2017)
- Pages: 246-267
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175187
- DOI: https://doi.org/10.1134/S0081543817080168
- ID: 175187
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Abstract
We consider the Diophantine inequality |p1c + p2c + p3c − N| < (logN)−E, where 1 < c < 15/14, N is a sufficiently large real number and E > 0 is an arbitrarily large constant. We prove that the above inequality has a solution in primes p1, p2, p3 such that each of the numbers p1 + 2, p2 + 2 and p3 + 2 has at most [369/(180 − 168c)] prime factors, counted with multiplicity.
About the authors
D. I. Tolev
Faculty of Mathematics and Informatics
Author for correspondence.
Email: dtolev@fmi.uni-sofia.bg
Bulgaria, 5 J. Bourchier blvd., Sofia, 1164
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