Recent results on large gaps between primes
| Autor: | Rassias, Michael Th. |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | One of the themes of this paper is recent results on large gaps between primes. The first of these results has been achieved in the paper [12] by Ford, Green, Konyagin and Tao. It was later improved in the joint paper [13] of these four authors with Maynard. One of the main ingredients of these results are old methods due to Erd\H{o}s and Rankin. Other ingredients are important breakthrough results due to Goldston, Pintz and Yildirim [15, 16, 17], and their extension by Maynard on small gaps between primes. All these previous results are discussed shortly. The results on the appearance of $k$-th powers of primes contained in those large gaps, obtained by the author in joint work with Maier [23, 24, 25] are based on a combination of the results just described with the matrix method of Maier. Comment: arXiv admin note: substantial text overlap with arXiv:1412.5029, arXiv:1511.04468 by other authors |
| Databáze: | arXiv |
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