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Cubic forms and the circle method Tim Browing

Von: Materialtyp: TextTextSprache: Englisch Reihen: ; 343 | Progress in mathematics ; 343Verlag: Cham, Switzerland Birkhäuser [2021]Copyright-Datum: © 2021Beschreibung: xiv, 166 Seiten Illustrationen 25 cmInhaltstyp:
  • Text
Medientyp:
  • ohne Hilfsmittel zu benutzen
Datenträgertyp:
  • Band
ISBN:
  • 9783030868710
  • 9783030868741
Schlagwörter: Andere physische Formen: Kein Titel; Erscheint auch als: Cubic Forms and the Circle MethodAndere Klassifikation:
  • 11-01
  • 11Dxx
  • 31.14
  • 31.14
Online-Ressourcen: Zusammenfassung: 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.Andere Ausgaben: Erscheint auch als (Online-Ausgabe): / Browning, Tim: Cubic Forms and the Circle Method
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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.

Browning, Tim: Cubic Forms and the Circle Method

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