Higher correlations of divisor sums related to primes II: variations of the error term in the prime number theorem

We calculate the triple correlations for the truncated divisor sum λR(n). The λR(n) behave over certain averages just as the prime counting von Mangoldt function Λ(n) does or is conjectured to do. We also calculate the mixed (with a factor of Λ(n)) correlations. The results for the moments up to the...

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Bibliographic Details
Published in:Proceedings of the London Mathematical Society Vol. 95; no. 1; pp. 199 - 247
Main Authors: Goldston, D. A., Yildirim, C. Y.
Format: Journal Article
Language:English
Published: Oxford University Press 01.07.2007
ISSN:0024-6115, 1460-244X
Online Access:Get full text
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