Reciprocity Laws

From Euler to Eisenstein

Authors:

ISBN: 978-3-642-08628-1 (Print) 978-3-662-12893-0 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xix

  2. No Access

    Chapter

    Pages 1-42

    The Genesis of Quadratic Reciprocity

  3. No Access

    Chapter

    Pages 43-78

    Quadratic Number Fields

  4. No Access

    Chapter

    Pages 79-110

    Cyclotomic Number Fields

  5. No Access

    Chapter

    Pages 111-152

    Power Residues and Gauss Sums

  6. No Access

    Chapter

    Pages 153-183

    Rational Reciprocity Laws

  7. No Access

    Chapter

    Pages 185-207

    Quartic Reciprocity

  8. No Access

    Chapter

    Pages 209-233

    Cubic Reciprocity

  9. No Access

    Chapter

    Pages 235-288

    Eisenstein’s Analytic Proofs

  10. No Access

    Chapter

    Pages 289-316

    Octic Reciprocity

  11. No Access

    Chapter

    Pages 317-356

    Gauss’s Last Entry

  12. No Access

    Chapter

    Pages 357-410

    Eisenstein Reciprocity

  13. Back Matter

    Pages 411-489