Higher correlations of divisor sums related to primes I: triple correlations
Abstract
We obtain the triple correlations for a truncated divisor sum related to primes. We also obtain the mixed correlations for this divisor sum when it is summed over the primes, and give some applications to primes in short intervals.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 2001
 arXiv:
 arXiv:math/0111212
 Bibcode:
 2001math.....11212G
 Keywords:

 Mathematics  Number Theory;
 Primary 11N05;
 Secondary 11P32
 EPrint:
 58 pages