Published March 2019
| Submitted
Journal Article
Open
On the L¹ norm of an exponential sum involving the divisor function
- Creators
- Goldston, D. A.
- Pandey, M.
Abstract
In this paper, we obtain bounds on the L¹-norm of the sum ∑_(n≤x)τ(n)e(αn) where τ(n) is the divisor function.
Additional Information
© 2018 Springer Nature Switzerland AG. Received: 21 August 2018; First Online: 16 October 2018. D. A. Goldston was in residence at the Mathematical Sciences Research Institute in Berkeley, California (supported by the National Science Foundation under Grant No. DMS-1440140), during the Spring 2017 semester.Attached Files
Submitted - 1704.05953
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Additional details
- Alternative title
- On the L1 norm of an exponential sum involving the divisor function
- Eprint ID
- 90280
- DOI
- 10.1007/s00013-018-1256-z
- Resolver ID
- CaltechAUTHORS:20181016-134539294
- DMS-1440140
- NSF
- Created
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2018-10-16Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field