| 书目名称 | Cubic Forms and the Circle Method |
| 编辑 | Tim Browning |
| 视频video | |
| 概述 | Gives a modern account of the Hardy–Littlewood circle method.Including its workings over number fields and function fields.Illustrates the use of the circle method in algebraic geometry |
| 丛书名称 | Progress in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2021 |
| 关键词 | Circle method; Cubic forms; Diophantine equations; Fourier analysis; Global fields; Hasse principle; Local |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-86872-7 |
| isbn_softcover | 978-3-030-86874-1 |
| isbn_ebook | 978-3-030-86872-7Series ISSN 0743-1643 Series E-ISSN 2296-505X |
| issn_series | 0743-1643 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:12:47
