| Binomial Theorem |
Problem Set 1
Prove Theorem 1.1 in Book
Do Exercises:
1.2: 2, 13, 30, 35, 44, 47, 50
1.3: 4, 8, 9, 11, 36, 37
Note: Problems 1.3: 36 and 37 may be handed in with Problem Set 2. |
(PDF) |
| More on Congruences |
Problem Set 2
1.3: 36, 37 (again)
1.4: 4, 8
2.1: 5, 6, 10, 12 |
(PDF) |
| More on Euler's Little Theorem |
Problem Set 3
2.1: 17, 23, 45, 46
2.2: 3, 5abc, 14, 17 |
(PDF) |
| Hensel's Lemma |
Problem Set 4
2.3: 3, 12, 15, 21, 44
2.4: 6, 16
2.5: 4, 5 |
(PDF) |
| Finite Fields |
Problem Set 5
2.6: 8, 10
2.7: 3, 10
2.8: 13, 14, 22
3.1: 3, 5, 7 |
(PDF) |
| More on Quadratic Reciprocity |
Problem Set 6
3.1: 13, 15, 18, 23,
3.2: 4, 8, 13, 18, 22 |
(PDF) |
| More on Continued Fractions |
Problem Set 7
3.3: 3, 7, 14, 20
7.1: 1, 5
7.2: 1
7.3: 3, 6 |
(PDF) |
| Elliptic Curves |
Problem Set 8 (PDF ) |
(Not Yet Available) |
| Finite Generation of Group of Torsion Points |
Problem Set 9 (PDF ) |
(Not Yet Available) |
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