3

I want to have a book on prime gaps, which includes both the theory of prime gaps and all the results obtained.

The conditions may be harsh, but I hope I can have some recommendations that fit at least one of the two conditions.

Yes
  • 20,719
  • 1
    Large gaps or small. But I cannot think of any books. Have you looked at http://www.primegaps.com/links/ ? The Wikipedia entry http://en.wikipedia.org/wiki/Prime_gap has some reasonable references. – almagest Sep 09 '14 at 05:45
  • @almagest: Thanks very much. I have checked the relevant materials, but what I found are isolated short pieces. So I want to have an organized, systematic book on this subject of study. – Yes Sep 09 '14 at 05:48
  • 2
    This only recently became a hot research area. I don't think anyone has had time to write books yet! – almagest Sep 09 '14 at 05:51
  • 1
    @almagest: Thanks. Yes, because of Zhang's epoch-making result. But this field can be dated back to long long ago; it is weird that no number theorist writes up a specialized pamphlet on this topic :) – Yes Sep 09 '14 at 05:57
  • Not really. For a long time, it did not have many results of any significance. But these things are driven by fashion. – almagest Sep 09 '14 at 06:01
  • 2
    Andrew Granville has an overview paper on this here. – Jose Arnaldo Bebita Dris Sep 09 '14 at 06:02

1 Answers1

1

Paulo Ribenboim has written (three?) books about primes that include topics about prime gaps.

MattAllegro
  • 3,316
Cornel Ormsby
  • 26