↓ Skip to main content

Classical Theory of Algebraic Numbers

Overview of attention for book
Cover of 'Classical Theory of Algebraic Numbers'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Unique Factorization Domains, Ideals, and Principal Ideal Domains
  3. Altmetric Badge
    Chapter 2 Commutative Fields
  4. Altmetric Badge
    Chapter 3 Residue Classes
  5. Altmetric Badge
    Chapter 4 Quadratic Residues
  6. Altmetric Badge
    Chapter 5 Algebraic Integers
  7. Altmetric Badge
    Chapter 6 Integral Basis, Discriminant
  8. Altmetric Badge
    Chapter 7 The Decomposition of Ideals
  9. Altmetric Badge
    Chapter 8 The Norm and Classes of Ideals
  10. Altmetric Badge
    Chapter 9 Estimates for the Discriminant
  11. Altmetric Badge
    Chapter 10 Units
  12. Altmetric Badge
    Chapter 11 Extension of Ideals
  13. Altmetric Badge
    Chapter 12 Algebraic Interlude
  14. Altmetric Badge
    Chapter 13 The Relative Trace, Norm, Discriminant, and Different
  15. Altmetric Badge
    Chapter 14 The Decomposition of Prime Ideals in Galois Extensions
  16. Altmetric Badge
    Chapter 15 The Fundamental Theorem of Abelian Extensions
  17. Altmetric Badge
    Chapter 16 Complements and Miscellaneous Numerical Examples
  18. Altmetric Badge
    Chapter 17 Local Methods for Cyclotomic Fields
  19. Altmetric Badge
    Chapter 18 Bernoulli Numbers
  20. Altmetric Badge
    Chapter 19 Fermat’s Last Theorem for Regular Prime Exponents
  21. Altmetric Badge
    Chapter 20 More on Cyclotomic Extensions
  22. Altmetric Badge
    Chapter 21 Characters and Gaussian Sums
  23. Altmetric Badge
    Chapter 22 Zeta-Functions and L -Series
  24. Altmetric Badge
    Chapter 23 The Dedekind Zeta-Function
  25. Altmetric Badge
    Chapter 24 Primes in Arithmetic Progressions
  26. Altmetric Badge
    Chapter 25 The Frobenius Automorphism and the Splitting of Prime Ideals
  27. Altmetric Badge
    Chapter 26 Class Numbers of Quadratic Fields
  28. Altmetric Badge
    Chapter 27 Class Number of Cyclotomic Fields
  29. Altmetric Badge
    Chapter 28 Miscellaneous Results About the Class Number of Quadratic Fields
  30. Altmetric Badge
    Chapter 29 Miscellaneous Results About the Class Number of Cyclotomic Fields
Overall attention for this book and its chapters
Altmetric Badge

Mentioned by

syllabi
2 institutions with syllabi

Citations

dimensions_citation
61 Dimensions

Readers on

mendeley
4 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Classical Theory of Algebraic Numbers
Published by
Springer New York, November 2013
DOI 10.1007/978-0-387-21690-4
ISBNs
978-0-387-21690-4, 978-1-4419-2870-2
Authors

Ribenboim, Paulo

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 3 75%
Student > Ph. D. Student 1 25%
Readers by discipline Count As %
Mathematics 3 75%
Computer Science 1 25%