Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture
 
Rafael von Känel IAS Tsinghua University, Beijing, China
Softcover ISBN:  978-1-4704-6416-5
Product Code:  MEMO/286/1419
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7513-0
Product Code:  MEMO/286/1419.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6416-5
eBook: ISBN:  978-1-4704-7513-0
Product Code:  MEMO/286/1419.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Click above image for expanded view
Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture
Rafael von Känel IAS Tsinghua University, Beijing, China
Softcover ISBN:  978-1-4704-6416-5
Product Code:  MEMO/286/1419
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7513-0
Product Code:  MEMO/286/1419.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6416-5
eBook ISBN:  978-1-4704-7513-0
Product Code:  MEMO/286/1419.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: 2862023; 142 pp
    MSC: Primary 11;

    View the abstract.

  • Table of Contents
     
     
    • 1. Algorithms
    • 1. Introduction
    • 2. The Shimura–Taniyama conjecture
    • 3. Algorithms for S-unit equations
    • 4. Algorithms for Mordell equations
    • 5. Algorithms for Thue and Thue–Mahler equations
    • 6. Algorithms for generalized Ramanujan–Nagell equations
    • 2. Height bounds
    • 7. Mordell equations and almost primitive solutions
    • 8. Height bounds for Thue and Thue–Mahler equations
    • 9. Height bounds for Ramanujan–Nagell equations
    • 10. Height bounds for Mordell and S-unit equations
    • 3. Elliptic logarithm sieve
    • 11. The elliptic logarithm sieve
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2862023; 142 pp
MSC: Primary 11;

View the abstract.

  • 1. Algorithms
  • 1. Introduction
  • 2. The Shimura–Taniyama conjecture
  • 3. Algorithms for S-unit equations
  • 4. Algorithms for Mordell equations
  • 5. Algorithms for Thue and Thue–Mahler equations
  • 6. Algorithms for generalized Ramanujan–Nagell equations
  • 2. Height bounds
  • 7. Mordell equations and almost primitive solutions
  • 8. Height bounds for Thue and Thue–Mahler equations
  • 9. Height bounds for Ramanujan–Nagell equations
  • 10. Height bounds for Mordell and S-unit equations
  • 3. Elliptic logarithm sieve
  • 11. The elliptic logarithm sieve
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.