Vinogradov’s three primes theorem with almost twin primes.
In: Compositio Mathematica, Jg. 153 (2017-06-01), Heft 6, S. 1220-1256
Online
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Zugriff:
In this paper we prove two results concerning Vinogradov’s three primes theorem with primes that can be called almost twin primes. First, for any $m$, every sufficiently large odd integer $N$ can be written as a sum of three primes $p_{1},p_{2}$ and $p_{3}$ such that, for each $i\in \{1,2,3\}$, the interval $[p_{i},p_{i}+H]$ contains at least $m$ primes, for some $H=H(m)$. Second, every sufficiently large integer $N\equiv 3~(\text{mod}~6)$ can be written as a sum of three primes $p_{1},p_{2}$ and $p_{3}$ such that, for each $i\in \{1,2,3\}$, $p_{i}+2$ has at most two prime factors. [ABSTRACT FROM AUTHOR]
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Vinogradov’s three primes theorem with almost twin primes.
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Autor/in / Beteiligte Person: | Matomäki, Kaisa ; Shao, Xuancheng |
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Zeitschrift: | Compositio Mathematica, Jg. 153 (2017-06-01), Heft 6, S. 1220-1256 |
Veröffentlichung: | 2017 |
Medientyp: | academicJournal |
ISSN: | 0010-437X (print) |
DOI: | 10.1112/S0010437X17007072 |
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