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Hypergeometric Functions Over Finite Fields
 
Jenny Fuselier High Point University, High Point, North Carolina
Ling Long Louisiana State University, Baton Rouge, Louisiana
Ravi Ramakrishna Cornell University, Ithaca, New York
Holly Swisher Oregon State University, Corvallis, Oregon
Fang-Ting Tu Louisiana State University, Baton Rouge, Louisiana
Hypergeometric Functions Over Finite Fields
Softcover ISBN:  978-1-4704-5433-3
Product Code:  MEMO/280/1382
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7282-5
Product Code:  MEMO/280/1382.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5433-3
eBook: ISBN:  978-1-4704-7282-5
Product Code:  MEMO/280/1382.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Hypergeometric Functions Over Finite Fields
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Hypergeometric Functions Over Finite Fields
Jenny Fuselier High Point University, High Point, North Carolina
Ling Long Louisiana State University, Baton Rouge, Louisiana
Ravi Ramakrishna Cornell University, Ithaca, New York
Holly Swisher Oregon State University, Corvallis, Oregon
Fang-Ting Tu Louisiana State University, Baton Rouge, Louisiana
Softcover ISBN:  978-1-4704-5433-3
Product Code:  MEMO/280/1382
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7282-5
Product Code:  MEMO/280/1382.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5433-3
eBook ISBN:  978-1-4704-7282-5
Product Code:  MEMO/280/1382.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: 2802022; 120 pp
    MSC: Primary 11; 33

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Acknowledgments
    • 1. Introduction
    • 2. Preliminaries for the Complex and Finite Field Settings
    • 3. Classical Hypergeometric Functions
    • 4. Finite Field Analogues
    • 5. Some Related Topics on Galois Representations
    • 6. Galois Representation Interpretation
    • 7. A finite field Clausen formula and an application
    • 8. Translation of Some Classical Results
    • 9. Quadratic or Higher Transformation Formulas
    • 10. An application to Hypergeometric Abelian Varieties
    • 11. Open Questions and Concluding Remarks
    • 12. Appendix
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2802022; 120 pp
MSC: Primary 11; 33

View the abstract.

  • Chapters
  • Acknowledgments
  • 1. Introduction
  • 2. Preliminaries for the Complex and Finite Field Settings
  • 3. Classical Hypergeometric Functions
  • 4. Finite Field Analogues
  • 5. Some Related Topics on Galois Representations
  • 6. Galois Representation Interpretation
  • 7. A finite field Clausen formula and an application
  • 8. Translation of Some Classical Results
  • 9. Quadratic or Higher Transformation Formulas
  • 10. An application to Hypergeometric Abelian Varieties
  • 11. Open Questions and Concluding Remarks
  • 12. Appendix
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.