Topics in this book

These are some of the main topics that are discussed in this book: Note that we will not do anything nontrivial with zeta functions or $ L$-functions. This is to keep the prerequisites to algebra, and so we will have more time to discuss algorithmic questions. Depending on time and your inclination, I may also talk about integer factorization, primality testing, or complex multiplication elliptic curves (which are closely related to quadratic imaginary fields).

William Stein 2004-05-06