图书信息
图书目录
二次型的算术理论（影印版）
暂无简介
作者：
Burton W. Jones 著
定价：
99.00 元
出版时间：
2026-03-27
ISBN：
978-7-04-065968-9
物料号：
65968-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
数论
重点项目：
暂无
版面字数：
370千字
开本：
特殊
装帧形式：
精装
页数：
暂无
最新印次时间：
2026年01月
- 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
- 1. Fundamental notions
- 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
- 7. The definition and properties of p-adic numbers
- 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
- 19. Congruence
- 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
- 24. Equivalence
- V. Genera and semi-equivalence
- 32. Definitions
- 33. Representation without essential denominator
- 34. Existence of forms with integral coefficients and having given invariants
- 32. Definitions
- VI. Representations by forms
- 35. Introduction
- 36. Siegel's representation function
- 37. Asymptotic results
- 38. A representation function
- 35. Introduction
- 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
- 39. Introduction
- VIII. Ternary Quadratic Forms
- 50. Numbers represented by ternary genera
- 51. Numbers represented by forms
- 52. The number of representations by ternary genera
- 50. Numbers represented by ternary genera
- Bibliography
- Problems
- Theorem Index
- Index
- 前辅文
