Introduction to Modern Number Theory

Fundamental Problems, Ideas and Theories

Authors:

ISBN: 978-3-540-20364-3 (Print) 978-3-540-27692-0 (Online)

Table of contents (9 chapters)

  1. Problems and Tricks

    1. Front Matter

      Pages 7-7

    2. No Access

      Book Chapter

      Pages 9-61

      Number Theory

    3. No Access

      Book Chapter

      Pages 63-91

      Some Applications of Elementary Number Theory

  2. Ideas and Theories

    1. Front Matter

      Pages 93-93

    2. No Access

      Book Chapter

      Pages 95-114

      Induction and Recursion

    3. No Access

      Book Chapter

      Pages 115-189

      Arithmetic of algebraic numbers

    4. No Access

      Book Chapter

      Pages 191-259

      Arithmetic of algebraic varieties

    5. No Access

      Book Chapter

      Pages 261-340

      Zeta Functions and Modular Forms

    6. No Access

      Book Chapter

      Pages 341-393

      Fermat’s Last Theorem and Families of Modular Forms

  3. Analogies and Visions

    1. Front Matter

      Pages 393-393

    2. No Access

      Book Chapter

      Pages 397-413

      Introductory survey to part III: motivations and description

    3. No Access

      Book Chapter

      Pages 415-460

      Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM])

    4. No Access

      Book Chapter

      Pages 415-460

      Arakelov Geometry and Noncommutative Geometry (d’après C. Consani and M. Marcolli, [CM])