Distribution of αp2 Modulo One with Prime Variable p of a Special Form
Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that, for α∈ℝ/ℚ, β∈ℝ, and 0<θ<10/1561, there exist infinitely many primes p, such that αp2+β<p−θ and p+2=P4, which constitutes an improvement upon the previous result....
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5516049 |
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| Summary: | Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. In this paper, it is proved that, for α∈ℝ/ℚ, β∈ℝ, and 0<θ<10/1561, there exist infinitely many primes p, such that αp2+β<p−θ and p+2=P4, which constitutes an improvement upon the previous result. |
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| ISSN: | 2314-4629 2314-4785 |