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Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture
| 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 |
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Solving $S$-Unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 286; 2023; 142 ppMSC: Primary 11
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Table of Contents
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1. Algorithms
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1. Introduction
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2. The Shimura–Taniyama conjecture
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3. Algorithms for S-unit equations
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4. Algorithms for Mordell equations
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5. Algorithms for Thue and Thue–Mahler equations
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6. Algorithms for generalized Ramanujan–Nagell equations
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2. Height bounds
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7. Mordell equations and almost primitive solutions
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8. Height bounds for Thue and Thue–Mahler equations
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9. Height bounds for Ramanujan–Nagell equations
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10. Height bounds for Mordell and S-unit equations
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3. Elliptic logarithm sieve
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11. The elliptic logarithm sieve
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 286; 2023; 142 pp
MSC: Primary 11
-
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.