Experimental number theory
Author(s)
Bibliographic Information
Experimental number theory
（Oxford graduate texts in mathematics, 13）
Oxford University Press, 2007
- : pbk
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Note
Bibliography: p. [205]-210
Includes index
Description and Table of Contents
Description
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.
Table of Contents
- Preface
- 1. Basic examples
- 2. Reciprocity
- 3. Positive definite binary quadratic forms
- 4. Sequences
- 5. Combinatorics
- 6. p-adic numbers
- 7. Polynomials
- 8. Remarks on selected exercises
- References
- Index
by "Nielsen BookData"
