Experimental number theory

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Mathematics - Number Theory
Experimental number theory

Experimental number theory

Name: Experimental number theory
ISBN: 9781429492461

Fernando Villegas

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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.

الفئات:

Mathematics - Number Theory

عام:

2007

الناشر:

Oxford University Press, USA

اللغة:

english

الصفحات:

231

ISBN 10:

1429492465