Small gaps between primes

We introduce a refinement of the GPY sieve method for studying prime kk-tuples and small gaps between primes. This refinement avoids previous limitations of the method and allows us to show that for each kk, the prime kk-tuples conjecture holds for a positive proportion of admissible kk-tuples. In p...

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Bibliographic Details
Main Author: Maynard, J
Format: Journal article
Published: Princeton University, Department of Mathematics 2015