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.
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