Timeline for Gaps between primes - what to read?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 7, 2019 at 19:10 | comment | added | user147968 | I mean, in those theories the limiting procedures would only be applied to functions $f: \mathbb Q^n \to \mathbb Q^m$. But I am not sure can irrationals be completely avoided in those discussions. | |
| Nov 7, 2019 at 19:00 | comment | added | user147968 | @WillSawin It is indeed expectable and true that some special functions have in themselves encoded information about primes, but yes, some of the possible theories of gaps could be very much algebraic, even entirely. | |
| Nov 7, 2019 at 18:55 | comment | added | Will Sawin | The analysis in the prime gaps work mostly has little to do with functions of a complex variable. | |
| Nov 7, 2019 at 18:46 | comment | added | user147968 | @StanleyYaoXiao When I saw description of that book I thought that I could just let professionals do their job and I could purchase Closing the Gap: The Quest to Understand Prime Numbers for myself. | |
| Nov 7, 2019 at 18:44 | comment | added | George Shakan | You can also see Kevin Ford's notes faculty.math.illinois.edu/~ford/sieve_methods_Sp2015.html | |
| Nov 7, 2019 at 18:28 | comment | added | Gerhard Paseman | Most of the recent work is available on ArXiv or on blogs. I am not aware of books focusing on prime gaps. Terry Tao's blog is a good place to start, and James Maynard posted a recent survey article. Gerhard "Would Like To Fill Gaps" Paseman, 2019.11.07. | |
| Nov 7, 2019 at 18:27 | comment | added | Stanley Yao Xiao | The authoritative text that gives the necessary background to understand the best results on gaps between primes, especially those of Zhang and Maynard, is the book Opera de Cribro by Henryk Iwaniec and John Friedlander. | |
| Nov 7, 2019 at 18:08 | history | asked | user147968 | CC BY-SA 4.0 |