Description

Book Synopsis
Examines when a prime $p$ can be written in the form $x^{2} + ny^{2}$. The book begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms.

Table of Contents
  • From Fermat to Gauss
  • Class field theory
  • Complex multiplication
  • Additional topics
  • Solutions
  • References
  • Further reading
  • Index

Primes of the Form x2 ny2 Fermat Class Field

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    A Paperback / softback by David A. Cox

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      View other formats and editions of Primes of the Form x2 ny2 Fermat Class Field by David A. Cox

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/12/2022
      ISBN13: 9781470470289, 978-1470470289
      ISBN10: 1470470284

      Description

      Book Synopsis
      Examines when a prime $p$ can be written in the form $x^{2} + ny^{2}$. The book begins at an elementary level with results of Fermat and Euler and then discusses the work of Lagrange, Legendre and Gauss on quadratic reciprocity and the genus theory of quadratic forms.

      Table of Contents
      • From Fermat to Gauss
      • Class field theory
      • Complex multiplication
      • Additional topics
      • Solutions
      • References
      • Further reading
      • Index

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