Showing math.NTShow all
2 papers · 1 filter
math.NT2008
Small gaps between almost primes, the parity problem, and some conjectures of Erdos on consecutive integers
D. A. Goldston, S. W. Graham, J. Pintz +1
In a previous paper, the authors proved that in any system of three linear forms satisfying obvious necessary local conditions, there are at least two forms that infinitely often a…
math.NT2004
Higher Correlations of Divisor Sums Related to Primes II: Variations of the error term in the prime number theorem
D. A. Goldston, C. Y. Yildirim
We calculate the triple correlations for the truncated divisor sum . The 's behave over certain averages just as the prime counting von Mangoldt function …