CEU Electronic Theses and Dissertations, 2017
| Author | Kaptan, Deniz Ali |
|---|---|
| Title | On Small Gaps Between Primes |
| Summary | This work gives an account and applications of recently developed meth- ods in the investigation of small gaps between prime numbers that extended the state of the art, namely the Goldston-Pintz- Yıld 1;rım method and the Maynard-Tao method. We give brief expositions of the ideas involved in each in Chapters 2 and 4 respectively, and apply the Goldston-Pintz- Yıld 1;rım method to prime elements in totally real number fields in Chapter 3 and the Maynard-Tao method to the problem of finding uniform gaps between primes in arithmetic progressions over a range of moduli in chapters 5 and 6. |
| Supervisor | Pintz, János; Harcos, Gergely |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2017/kaptan_deniz.pdf |
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