## Undergraduate Seminar in Mathematics

** Tel Aviv, Spring 1998 **

** Zeev Rudnick **

The seminar will consist mostly of presentations by the students of
various topics in Number Theory and its applications, possibly to
Computer Science, cryptography etc.
## Schedule:

Tuesday 14-16, Dan David 211

## Topics:

- March 17: Continued fractions, periodic c.f's and quadratic
irrationalities.
exercises .
- March 24: Quaternions and the four-square theorem.
exercises .
- March 31: The transcendence of
** e**.
exercises .
- April 7: Geometry of numbers and applications
- April 21, 28: Dirichlet's theorem on primes in progressions.

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