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Intrinsic Approach to Galois Theory of $q$-Difference Equations
 
Lucia Di Vizio Université de Versailles-St Quentin, Versailles, France

With a Preface to Part 4 by Anne Granier

Intrinsic Approach to Galois Theory of $q$-Difference Equations
Softcover ISBN:  978-1-4704-5384-8
Product Code:  MEMO/279/1376
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7230-6
Product Code:  MEMO/279/1376.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5384-8
eBook: ISBN:  978-1-4704-7230-6
Product Code:  MEMO/279/1376.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Intrinsic Approach to Galois Theory of $q$-Difference Equations
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Intrinsic Approach to Galois Theory of $q$-Difference Equations
Lucia Di Vizio Université de Versailles-St Quentin, Versailles, France

With a Preface to Part 4 by Anne Granier

Softcover ISBN:  978-1-4704-5384-8
Product Code:  MEMO/279/1376
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7230-6
Product Code:  MEMO/279/1376.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5384-8
eBook ISBN:  978-1-4704-7230-6
Product Code:  MEMO/279/1376.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2792022; 70 pp
    MSC: Primary 39; 12

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Introduction to $q$-difference equations
    • 1. Generalities on $q$-difference modules
    • 2. Formal classification of singularities
    • 2. Triviality of $q$-difference equations with rational coefficients
    • 3. Rationality of solutions, when $q$ is an algebraic number
    • 4. Rationality of solutions when $q$ is transcendental
    • 5. A unified statement
    • 3. Intrinsic Galois groups
    • 6. The intrinsic Galois group
    • 7. The parametrized intrinsic Galois group
    • 4. Comparison with the non-linear theory
    • 8. Preface to Part 4. The Galois $D$-groupoid of a $q$-difference system, by Anne Granier
    • 9. Comparison of the parametrized intrinsic Galois group with the Galois $D$-groupoid
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2792022; 70 pp
MSC: Primary 39; 12

View the abstract.

  • Chapters
  • Introduction
  • 1. Introduction to $q$-difference equations
  • 1. Generalities on $q$-difference modules
  • 2. Formal classification of singularities
  • 2. Triviality of $q$-difference equations with rational coefficients
  • 3. Rationality of solutions, when $q$ is an algebraic number
  • 4. Rationality of solutions when $q$ is transcendental
  • 5. A unified statement
  • 3. Intrinsic Galois groups
  • 6. The intrinsic Galois group
  • 7. The parametrized intrinsic Galois group
  • 4. Comparison with the non-linear theory
  • 8. Preface to Part 4. The Galois $D$-groupoid of a $q$-difference system, by Anne Granier
  • 9. Comparison of the parametrized intrinsic Galois group with the Galois $D$-groupoid
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.