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Experimental Number Theory.
・ISBN 978-0-19-852822-7 hard GB£ 51.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-383-02464-7
| 著者・編者 | Villegas, Fernando Rodriguez, |
|---|---|
| シリーズ | Oxford Graduate Texts in Mathematics |
| 出版社 | (Oxford University Press, UK) |
| 出版年月 | 2007 |
| ページ数 | 232 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-13029＞ |
解説
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.