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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 …
math.NT2004
Notes on Pair Correlation of Zeros and Prime Numbers
D. A. Goldston
These notes are based on my four lectures given at the Newton Institute in April 2004 during the Recent Perspectives in Random Matrix Theory and Number Theory Workshop. Their purpo…