| Title:
|
A higher rank Selberg sieve and applications (English) |
| Author:
|
Vatwani, Akshaa |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
169-193 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We develop an axiomatic formulation of the higher rank version of the classical Selberg sieve. This allows us to derive a simplified proof of the Zhang and Maynard-Tao result on bounded gaps between primes. We also apply the sieve to other subsequences of the primes and obtain bounded gaps in various settings. (English) |
| Keyword:
|
Selberg sieve |
| Keyword:
|
bounded gaps |
| Keyword:
|
prime $k$-tuples |
| MSC:
|
11N05 |
| MSC:
|
11N35 |
| MSC:
|
11N36 |
| idZBL:
|
Zbl 06861574 |
| idMR:
|
MR3783592 |
| DOI:
|
10.21136/CMJ.2017.0410-16 |
| . |
| Date available:
|
2018-03-19T10:28:26Z |
| Last updated:
|
2020-07-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147128 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
