Cubic forms and the circle method

Cubic forms and the circle method

by Browning, Timothy Daniel

Type Book
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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 polyn…

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Title Statements

  • Full title :Cubic forms and the circle method / Tim Browning.

Summary

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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Edition Statements

  • Publication Date:copyright 2021

Publication Statements

The Physical Object

  • Description:1 vol. (XIV-166 p.) : : ill. en coul. ; : 25 cm.

Edition Identifiers

  • ISBN:9783030868710 (rel), 3030868710 (rel)
  • oclc:on1296577104
  • LC Classification:QA241-247.5
  • Dewey Decimal:512.7

Subjects

Algebraic Geometry Geometry, Algebraic Nombres, Théorie des Number theory

Writers

Browning, Timothy Daniel

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