Number Theory Syllabus

Last verified: December 2016

Last verified: December 2016

The study of number theory inevitably includes a knowledge of the problems and techniques of elementary number theory, however the tools which have evolved to address such problems and their generalizations are both analytic and algebraic, and often intertwined in surprising ways.

The candidate should be well-versed in the concepts, definitions, examples, theorems and proofs in elementary, analytic, and algebraic number theory, and demonstrate facility with the techniques in either analytic or algebraic number theory.

The candidate should easily be able to give all relevant definitions, provide standard examples, state major theorems, and provide the ideas behind their proofs. Specific topics which will be covered include:

- Elementary Number Theory:
- Analytic Number Theory:
- Algebraic Number Theory:

- References:
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Thomas R. Shemanske 2016-12-02