Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772631 | Journal of Number Theory | 2017 | 13 Pages |
Abstract
We formulate a conjecture regarding the equidistribution of the Möbius function over shifted primes in arithmetic progressions. Our main result is that such a conjecture for a fixed even integer h, in conjunction with the Elliott-Halberstam conjecture, can resolve the parity barrier and produce infinitely many primes p such that p+h is also prime.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Ram Murty, Akshaa Vatwani,