The Davenport–Heilbronn method: 80 years on
Abstract
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.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Analytic Number Theory Research
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN