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| Softcover ISBN: | 978-0-8218-0880-1 |
| Product Code: | AMSIP/7 |
| List Price: | $84.00 |
| MAA Member Price: | $75.60 |
| AMS Member Price: | $67.20 |
| eBook ISBN: | 978-1-4704-3798-5 |
| Product Code: | AMSIP/7.E |
| List Price: | $79.00 |
| MAA Member Price: | $71.10 |
| AMS Member Price: | $63.20 |
| Softcover ISBN: | 978-0-8218-0880-1 |
| eBook ISBN: | 978-1-4704-3798-5 |
| Product Code: | AMSIP/7.B |
| List Price: | $163.00 $123.50 |
| MAA Member Price: | $146.70 $111.15 |
| AMS Member Price: | $130.40 $98.80 |
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Book DetailsAMS/IP Studies in Advanced MathematicsVolume: 7; 1998; 232 ppMSC: Primary 11
This volume contains papers presented at the conference, “Computational Perspectives on Number Theory” held at the University of Illinois at Chicago in honor of the retirement of A. O. L. Atkin. In keeping with Atkin's interests and work, the papers cover a range of topics, including algebraic number theory, \(p\)-adic modular forms, and modular curves. Many of the papers reflect Atkin's particular interest in computational and algorithmic questions.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
ReadershipGraduate students and research mathematicians working in computational number theory.
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Table of Contents
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Chapters
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Intelligent primality test offer
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Atkin and the Atlas Lab
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Elliptic and modular curves over finite fields and related computational issues
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Algorithms for computing isogenies between elliptic curves
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Supersingular $j$-invariants, hypergeometric series, and Atkin’s orthogonal polynomials
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On the density of modular representations
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Numerical experiments on families of $p$-adic modular forms
-
Ramanujan graphs
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Elliptic curves, Kloosterman sums, and Ramanujan graphs
-
Binary cubic forms and cubic number fields
-
Rigorous discrete logarithm computations in finite fields via smooth polynomials
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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This volume contains papers presented at the conference, “Computational Perspectives on Number Theory” held at the University of Illinois at Chicago in honor of the retirement of A. O. L. Atkin. In keeping with Atkin's interests and work, the papers cover a range of topics, including algebraic number theory, \(p\)-adic modular forms, and modular curves. Many of the papers reflect Atkin's particular interest in computational and algorithmic questions.
Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.
Graduate students and research mathematicians working in computational number theory.
-
Chapters
-
Intelligent primality test offer
-
Atkin and the Atlas Lab
-
Elliptic and modular curves over finite fields and related computational issues
-
Algorithms for computing isogenies between elliptic curves
-
Supersingular $j$-invariants, hypergeometric series, and Atkin’s orthogonal polynomials
-
On the density of modular representations
-
Numerical experiments on families of $p$-adic modular forms
-
Ramanujan graphs
-
Elliptic curves, Kloosterman sums, and Ramanujan graphs
-
Binary cubic forms and cubic number fields
-
Rigorous discrete logarithm computations in finite fields via smooth polynomials
