Small Gaps Between Primes I
classification
🧮 math.NT
keywords
primesshortableapproximateaverageclassicalconnectingconsecutive
read the original abstract
We use short divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able to prove that a positive proportion of consecutive primes are within a quarter of the average spacing between primes.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.