Experimental number theory

著者

• Rodriguez Villegas, Fernando

書誌事項

Experimental number theory

Fernando Rodriguez Villegas

（Oxford graduate texts in mathematics, 13）

Oxford University Press, 2007

• : pbk

注記

Bibliography: p. [205]-210

Includes index

内容説明・目次

内容説明

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.

目次

• 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

「Nielsen BookData」 より

• NII書誌ID(NCID): BA82122874
• ISBN:
  • 9780198528227
  • 9780199227303
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford ; New York
• ページ数/冊数: xvi, 214 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA241
  • DC22 : 512.70285
• 件名:
  • LCSH : Number theory -- Data processing
  • LCSH : Number theory -- Data processing -- Problems, exercises, etc.
• 親書誌ID:
  • BA31148509