"I believe that numbers and functions of Analysis are not the arbitrary result of our minds; I think that they exist outside of us, with the same character of necessity as the things of objective reality, and we meet them or discover them, and study them, as do the physicists, the chemists and the zoologists."
David Hilbert (1862-1943)
more pearls of wisdom
MATH 890
Advanced Number Theory:
Modular Forms
Spring 2014
Possible Topics for Student Lectures
- Elliptic curves
- [Mark] Dedekind sums (see Chapter 3)
- [Joe] Fourier-Dedekind sums
- [Juan] Jacobi theta function (Exercises 4.1-2)
- [Leo] Riemann zeta (Exercise 6.15)
- [Jose] Gamma0(q) (see Chapter 4)
- [Therese] Farey fractions & Ford circles (Sections 5.4-5)