The Davenport–Heilbronn method: 80 years on
Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc . (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Authors
- Tim Browning
Institutions
- Institute of Science and Technology Austria (AT)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2026-01-01
- DOI
- https://doi.org/10.1112/jlms.70371
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00