Download or read book Experimental Number Theory written by Fernando Rodriguez Villegas and published by OUP Oxford. This book was released on 2007-05-24 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the text is to show how the computer can be used as a tool for research in number theory through numerical experimentation. The book contains many examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, along with exercises and selected solutions. Sample programs are written in GP, the scripting language for the computational package PARI, and are available for download from the author's website.