This is an archived course. A more recent version may be available at ocw.mit.edu.

 

Assignments

The assignments listed below are from the textbook: Amazon logo Niven, Ivan, Herbert S. Zuckerman, and Hugh L. Montgomery. An Introduction to the Theory of Numbers. 5th ed. New York: Wiley Text Books, 1991. ISBN: 0471625469.

TOPICS ASSIGNMENTS SOLUTIONS
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)  
Finite Generation of Group of Torsion Points Problem Set 9 (PDF)