CaltechAUTHORS
Published June 2019 | Version Submitted
Journal Article Open

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

Creators

  • 1. ROR icon University of Turku
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon University of California, Los Angeles

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.

Attached Files

Submitted - 1712.08840.pdf

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1712.08840.pdf

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Additional details

Identifiers

Eprint ID
86991
Resolver ID
CaltechAUTHORS:20180612-090354076

Related works

Describes
https://arxiv.org/abs/1712.08840 (URL)

Funding

Academy of Finland
285894
Natural Sciences and Engineering Research Council of Canada (NSERC)
Canada Research Chairs Program
Alfred P. Sloan Foundation
Simons Foundation
James and Carol Collins Chair
Mathematical Analysis and Application Research Fund Endowment
NSF
DMS-1266164
NSF
DMS-1440140

Dates

Created
2018-06-12
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field