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Shangluo University

Elementary Number Theory Chapter2 The Ring of Integers Modulo n. 2.1 Congruences Modulo n 2.1.1 Linear Equations Modulo n 2.1.2 Fermat's Little Theorem 2.1.3 Wilson's Theorem 2.2 The Chinese Remainder Theorem Multiplicative Functions

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Shangluo University

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  1. Elementary Number Theory Chapter2 The Ring of Integers Modulo n • 2.1 Congruences Modulo n • 2.1.1 Linear Equations Modulon • 2.1.2Fermat's Little Theorem • 2.1.3Wilson's Theorem • 2.2The Chinese Remainder Theorem • Multiplicative Functions • 2.3 Quickly Computing Inverses and Huge Powers • 2.3.1 How to Solveax=1(mod n) • 2.3.2How to Computea^m=1 (mod n) • 2.4 Primality Testing • 2.5 The Structure of(Z/pz)* • 2.5.1 Polynomials over z/pz • 2.5.2 Existence of Primitive Roots • 2.5.3 Artin's Conjecture • 2.5.4 Computing Primitive Roots • Exercises Shangluo University Textbook

  2. Chapter2 The Ring of Integers Modulo n Introduction Introduction Shangluo University Section 2.1

  3. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1

  4. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1

  5. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1

  6. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1

  7. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.1

  8. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.1

  9. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.1

  10. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.1

  11. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.1

  12. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.2

  13. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.2

  14. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.2

  15. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.2

  16. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.3

  17. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Shangluo University Section 2.1.3

  18. Chapter2 The Ring of Integers Modulo n 2.1 Congruences Modulo n Seminar: Talk: Shangluo University Section 2.1.3

  19. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2.2

  20. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2.2

  21. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Short talk: Seminar Shangluo University Section 2. 2

  22. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2. 2

  23. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2. 2

  24. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2. 2

  25. Chapter2 The Ring of Integers Modulo n 2.2 The Chinese Remainder Theorem Shangluo University Section 2. 2

  26. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  27. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  28. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  29. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  30. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  31. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  32. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  33. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  34. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  35. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Shangluo University Section 2. 3

  36. Chapter2 The Ring of Integers Modulo n 2.3 Quickly Computing Inverses and Huge Powers Short Seminar Shangluo University Section 2. 3

  37. Chapter2 The Ring of Integers Modulo n 2.4 Primality Testing Shangluo University Section 2. 4

  38. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  39. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  40. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  41. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  42. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  43. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  44. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  45. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  46. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  47. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  48. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  49. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

  50. Chapter2 The Ring of Integers Modulo n 2.5 The Structure of(Z/pz)* Shangluo University Section 2. 5

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