Cubic Forms and the Circle Method

Tim Browning

ISBN 10: 3030868745 / ISBN 13: 9783030868741

Published by Birkhäuser, Palgrave Macmillan Nov 2022, 2022

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 180 pp. Englisch.

Seller Inventory # 9783030868741

Bibliographic Details

• Title: Cubic Forms and the Circle Method
• Publisher: Birkhäuser, Palgrave Macmillan Nov 2022
• Publication Date: 2022
• Language: English
• ISBN 10: 3030868745
• ISBN 13: 9783030868741
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 11D millimeters 235 millimeters width by 155 millimeters height by 11 millimeters depth
• Weight: 283 grams

About this title

Synopsis

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.

About the Author

Tim Browning is a professor of number theory with a focus on analytic number theory and Diophantine geometry.