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Cubic forms and the circle method

Browning, Tim.

Cubic forms and the circle method

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cubic forms and the circle methodby Tim Browning.
Author:	Browning, Tim.
Published:	Cham :Springer International Publishing :2021.
Description:	xiv, 166 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Hardy-Littlewood method.
Online resource:	https://doi.org/10.1007/978-3-030-86872-7
ISBN:	9783030868727$q(electronic bk.)

Cubic forms and the circle method
Browning, Tim.

Cubic forms and the circle method[electronic resource] /by Tim Browning. - Cham :Springer International Publishing :2021. - xiv, 166 p. :ill., digital ;24 cm. - Progress in mathematics,v. 3432296-505X ;. - Progress in mathematics ;v.295..

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: 9783030868727$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86872-7doiSubjects--Topical Terms:

912209
Hardy-Littlewood method.

LC Class. No.: QA241 / .B76 2021

Dewey Class. No.: 512.73

Cubic forms and the circle method
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520 $a 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.
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