目录
 前辅文
 I. Forms with real coefficients
  1. Fundamental notions
  2. A canonical form for congruence
  3. The determination of the index of a form
  4. Representation of one form by another
  5. Automorphs and the number of representations
  6. Summary
 II. Forms with p-adic coefficients
  7. The definition and properties of p-adic numbers
  8. Congruences and p-adic numbers
  9. Congruence of forms in F(p)
  10. The Hilbert symbol
  11. Hasse's symbol cp(f)
  12. Some properties of cp(f) and kp(f)
  13. Evaluation of the Hasse symbol
  14. Zero forms
  15. The solvability of f=v
  16. Congruence of forms
  17. Representation of one form by another
  18. Universal forms
 III. Forms with rational coefficients
  19. Congruence
  20. Equivalence and reduced forms
  21. The fundamental theorem on zero forms
  22. The fundamental theorem on rational congruence
  23. Representation of one form by another
 IV. Forms with coefficients in R(p)
  24. Equivalence
  25. Canonical forms
  26. Representation of numbers by forms
  27. Equivalence of forms in R(p)
  28. Representation of one form by another and existence of forms with given invariants
  29. Zero forms and universal forms
  30. Automorphs and representations
  31. Binary forms
 V. Genera and semi-equivalence
  32. Definitions
  33. Representation without essential denominator
  34. Existence of forms with integral coefficients and having given invariants
 VI. Representations by forms
  35. Introduction
  36. Siegel's representation function
  37. Asymptotic results
  38. A representation function
 VII. Binary forms
  39. Introduction
  40. Automorphs
  41. Representations by binary forms
  42. Ideals in a quadratic field
  43. A correspondence between ideal classes and classes of quadratic forms
  44. Composition of ideal classes and classes of forms
  45. Consequences of the composition of forms
  46. Genera
  47. Reduction of positive definite and zero binary forms
  48. Reduction of indefinite, non-zero, binary forms
  49. Class number
 VIII. Ternary Quadratic Forms
  50. Numbers represented by ternary genera
  51. Numbers represented by forms
  52. The number of representations by ternary genera
 Bibliography
 Problems
 Theorem Index
 Index
 前辅文
 I. Forms with real coefficients
  1. Fundamental notions
  2. A canonical form for congruence
  3. The determination of the index of a form
  4. Representation of one form by another
  5. Automorphs and the number of representations
  6. Summary
 II. Forms with p-adic coefficients
  7. The definition and properties of p-adic numbers
  8. Congruences and p-adic numbers
  9. Congruence of forms in F(p)
  10. The Hilbert symbol
  11. Hasse's symbol cp(f)
  12. Some properties of cp(f) and kp(f)
  13. Evaluation of the Hasse symbol
  14. Zero forms
  15. The solvability of f=v
  16. Congruence of forms
  17. Representation of one form by another
  18. Universal forms
 III. Forms with rational coefficients
  19. Congruence
  20. Equivalence and reduced forms
  21. The fundamental theorem on zero forms
  22. The fundamental theorem on rational congruence
  23. Representation of one form by another
 IV. Forms with coefficients in R(p)
  24. Equivalence
  25. Canonical forms
  26. Representation of numbers by forms
  27. Equivalence of forms in R(p)
  28. Representation of one form by another and existence of forms with given invariants
  29. Zero forms and universal forms
  30. Automorphs and representations
  31. Binary forms
 V. Genera and semi-equivalence
  32. Definitions
  33. Representation without essential denominator
  34. Existence of forms with integral coefficients and having given invariants
 VI. Representations by forms
  35. Introduction
  36. Siegel's representation function
  37. Asymptotic results
  38. A representation function
 VII. Binary forms
  39. Introduction
  40. Automorphs
  41. Representations by binary forms
  42. Ideals in a quadratic field
  43. A correspondence between ideal classes and classes of quadratic forms
  44. Composition of ideal classes and classes of forms
  45. Consequences of the composition of forms
  46. Genera
  47. Reduction of positive definite and zero binary forms
  48. Reduction of indefinite, non-zero, binary forms
  49. Class number
 VIII. Ternary Quadratic Forms
  50. Numbers represented by ternary genera
  51. Numbers represented by forms
  52. The number of representations by ternary genera
 Bibliography
 Problems
 Theorem Index
 Index