CEU eTD Collection (2020); Ismayilov, Elmaddin: Bounded Intervals with Many Primes

CEU Electronic Theses and Dissertations, 2020
Author Ismayilov, Elmaddin
Title Bounded Intervals with Many Primes
Summary This thesis analyzes the methodology used by James Maynard in his paper named "Small gaps between primes" where he proved there are in finitely many intervals of length 600 which contain at least 2 primes, and of length C*(m^3)*e^(4m) for some constant C > 0 and any m>=1 which contain at least m + 1 primes. In the thesis, I present Maynard's method following the exposition of Terence Tao [9], adding further details, expanding calculations, and giving explanatory examples.
Supervisor Maga Peter
Department Mathematics MSc
Full texthttps://www.etd.ceu.edu/2020/ismayilov_elmaddin.pdf

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