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Cubic Forms and the Circle Method

Af: Tim Browning Engelsk Paperback

Cubic Forms and the Circle Method

Af: Tim Browning Engelsk Paperback
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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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 166
ISBN-13: 9783030868741
Indbinding: Paperback
Udgave:
ISBN-10: 3030868745
Udg. Dato: 21 nov 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 21 nov 2022
Forfatter(e): Tim Browning
Forfatter(e) Tim Browning


Kategori Algebraisk geometri


ISBN-13 9783030868741


Sprog Engelsk


Indbinding Paperback


Sider 166


Udgave


Længde 0mm


Bredde 155mm


Højde 235mm


Udg. Dato 21 nov 2022


Oplagsdato 21 nov 2022


Forlag Springer Nature Switzerland AG

Kategori sammenhænge