Description

Book Synopsis
The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past 100 years become part of the standard tool chest of analytic number theory. This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory.

Table of Contents
  • Introduction and overview
  • Fundamental theorem for arithmetic
  • Arithmetic functions
  • Introduction to congruence arithmetic
  • Distribution of prime numbers
  • An introduction to Waring's problem
  • Waring's problem
  • Exponential sums
  • The circle method and Waring's problem
  • The circle method and the Goldbach conjectures
  • Epilogue
  • Bibliography
  • Index.

An Introduction to the Circle Method

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    A Paperback / softback by M. Ram Murty, Kaneenika Sinha

    £46.80

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    RRP £52.00 – you save £5.20 (10%)

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      Book details

      Publisher American Mathematical Society
      Published 31 August 2023
      ISBN-13 9781470472030
      978-1470472030
      ISBN-10 1470472031

      Description

      Book Synopsis
      The circle method, pioneered by Ramanujan and Hardy in the early 20th century, has over the past 100 years become part of the standard tool chest of analytic number theory. This book provides an introduction to the circle method that is accessible to undergraduate students with no background in number theory.

      Table of Contents
      • Introduction and overview
      • Fundamental theorem for arithmetic
      • Arithmetic functions
      • Introduction to congruence arithmetic
      • Distribution of prime numbers
      • An introduction to Waring's problem
      • Waring's problem
      • Exponential sums
      • The circle method and Waring's problem
      • The circle method and the Goldbach conjectures
      • Epilogue
      • Bibliography
      • Index.

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