# MATH-GA.2210-001 Number Theory, Mo 1:25pm

#### Office hours:

- Mo 3:30pm or by appointment

#### Lecture / Homework:

#### Syllabus:

- Elementary number theory, quadratic reciprocity
- Diophantine equations
- Local-global principles
- p-adic numbers
- Riemann zeta function
- Prime Number Theorem
- L-functions, primes in arithmetic progressions
- Basic algebraic number theory: quadratic and cubic fields
- p-adic measures, Kummer congruences
- Transcendence

#### Grading:

- Homework: 20%
- Midterm
**March 20**: 30%
- Final
**May 8**: 50%

#### Recommended books:

- A. Chambert-Loir,
**A Field guide to Algebra**, Springer
- J.-P. Serre,
**A course in arithmetic**, Springer