Estimates for smooth Weyl sums on minor arcs
Abstract We provide new estimates for smooth Weyl sums on minor arcs and explore their consequences for the distribution of the fractional parts of . In particular, when and is defined via the relation , then for all large numbers there is an integer with for which .
Authors
- Jörg Brüdern (ORCID: https://orcid.org/0000-0003-0354-3644)
- Trevor D. Wooley (ORCID: https://orcid.org/0000-0002-8781-4706)
Institutions
- Purdue University West Lafayette (US)
- University of Göttingen (DE)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-12-19
- DOI
- https://doi.org/10.1112/blms.13219
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation