# Math 620, Fall 2001

*Faculty*: David Harbater

* E-mail*: `harbater@math.upenn.edu`

*Telephone*: (215) 898-9594; Department office: (215) 898-8178

*Office*: DRL 4E2A; Department office: DRL 4W1-6.

First semester graduate number theory.

Topics include:
Hensel's Lemma, p-adic numbers, quadratic reciprocity, continued
fractions, distribution of primes, zeta functions, Prime Number Theorem,
Pell's equation, rings of integers, units in quadratic number fields,
Diophantine approximation, Liouville's theorem, decomposition and inertia
groups, Frobenius automorphism, some history of algebraic number theory.

### Homework assignments for Math 620

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