課程概述 |
I. Contents:
elliptic curves, rational points, Mordell’s Theorem, modular groups, modular functions, Dirichlet series.
II. Course prerequisite:
algebra, complex variable functions.
III. Reference material ( textbook(s) ):
Elliptic Curves, Anthony W. Knapp, Mathematical Note 40, Princeton University Press 1992.
A Course in Arithmetic, J.-P. Serre, Springer-Verlag 1973.
IV. Grading scheme:
Based on formal and informal discussions.
V. Others: |