The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties.
This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
| ISBN: | 9783030868741 |
| Publication date: | 21st November 2022 |
| Author: | Tim Browning |
| Publisher: | Springer Nature Switzerland AG |
| Format: | Paperback |
| Pagination: | 166 pages |
| Series: | Progress in Mathematics |
| Genres: |
Number theory Algebraic geometry |
The Hardy–Littlewood circle method was invented over a century ago to study integer solutions to special Diophantine equations, but it has since proven to be one of the most successful all-purpose tools available to number theorists. Not only is it capable of handling remarkably general systems of polynomial equations defined over arbitrary global fields, but it can also shed light on the space of rational curves that lie on algebraic varieties. This book, in which the arithmetic of cubic polynomials takes centre stage, is aimed at bringing beginning graduate students into contact with some of the many facets of the circle method, both classical and modern. This monograph is the winner of the 2021 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics.
Cubic Forms and the Circle Method features in the following genres: Number theory, Algebraic geometry
Paperback, Hardback. £98.99, down from the £109.99 cover price. Not Available.
Cubic Forms and the Circle Method was written by Tim Browning and published by Springer Nature Switzerland AG
Cubic Forms and the Circle Method has 166 pages
Yes it is part of Progress in Mathematics series
£98.99, reduced from £109.99. Not Available.