This is a preprint and may not have undergone formal peer review
Browning, Tim and Vishe, Pankaj (Accepted: 2012) Cubic hypersurfaces and a version of the circle method for number fields. [Preprint] (In Press)
Abstract
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to show that non-singular projective cubic hypersurfaces over K always have a K-rational point when they have dimension at least 8.
Metadata
Item Type: | Preprint |
---|---|
Authors/Creators: |
|
Keywords: | math.NT,11P55 (Primary) ,11D72,14G05 (Secondary) |
Dates: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 08 Jun 2023 23:13 |
Last Modified: | 23 Nov 2024 00:13 |
Status: | In Press |
Publisher: | Arxiv (Cornell University) |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:200153 |