Cubic Forms and the Circle Method: 343 (Progress in Mathematics, 343) - Softcover

Book 168 of 170: Progress in Mathematics

Browning, Tim

 
9783030868741: Cubic Forms and the Circle Method: 343 (Progress in Mathematics, 343)
Softcover
ISBN 10: 3030868745 ISBN 13: 9783030868741
Publisher: Birkhäuser, 2022

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.

"synopsis" may belong to another edition of this title.

About the Author

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

From the Back Cover

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 this title" may belong to another edition of this title.

Publisher
Birkhäuser
Publication date
2022
Language
English
ISBN 10 
3030868745
ISBN 13 
9783030868741
Binding
Paperback
Edition number
1
Number of pages
180

Other Popular Editions of the Same Title

9783030868710: Cubic Forms and the Circle Method: 343 (Progress in Mathematics, 343)

Featured Edition

ISBN 10:  3030868710 ISBN 13:  9783030868710
Publisher: Birkhäuser, 2021
Hardcover