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Published June 2019 | Submitted
Journal Article Open

Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges

Abstract

We study the problem of obtaining asymptotic formulas for the sums ∑_(X

Additional Information

© 2019 Springer-Verlag GmbH Germany, part of Springer Nature. Received: 31 January 2018; Revised: 27 December 2018; First Online: 21 January 2019. KM was supported by Academy of Finland Grant no. 285894. MR was supported by a NSERC DG grant, the CRC program and a Sloan Fellowship. TT was supported by a Simons Investigator grant, the James and Carol Collins Chair, the Mathematical Analysis & Application Research Fund Endowment, and by NSF Grant DMS-1266164. Part of this paper was written while the authors were in residence at MSRI in Spring 2017, which is supported by NSF Grant DMS-1440140.

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August 19, 2023
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October 18, 2023