Handouts

ELLIPTIC CURVE HANDOUTS
The last file reviews Legendre sums of linear, quadratic and cubic polynomials, constructs families of forced rank r over Q(t), bounds the average rank of the families, lists nice families of elliptic curves, and  gives the Explicit Formula relating sums over zeros to sums over primes.

• Calculating L-Functions

• Explicit Formula for Elliptic Curves

• One Parameter Families and More
• Examples of Good Families of Elliptic Curves, Sieving and the Conductors

GENERAL HANDOUTS

• Some Group Theory: Lagrange, Quotient Groups (Miller):                                                                 dvi   ps   tex
  

• Introduction to Modular Arithmetic and  Quadratic Reciprocity (Miller):                                             dvi   ps   tex
  
• Notes on Graph Theory (Silberman):                                                                                                                      pdf
• Class Notes from UML run at NYU (Germain Primes, Inverse mod p, Ramanujan Graphs)               dvi   ps   tex   pdf

                                                 General References:  Math World    Introduction to Number Theory