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Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin
 
Edited by: D. A. Buell Center for Computing Sciences, Bowie, MD
J. T. Teitelbaum University of Illinois at Chicago, Chicago, IL
A co-publication of the AMS and International Press of Boston
Front Cover for Computational Perspectives on Number Theory
Available Formats:
Softcover ISBN: 978-0-8218-0880-1
Product Code: AMSIP/7
232 pp 
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN: 978-1-4704-3798-5
Product Code: AMSIP/7.E
232 pp 
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Front Cover for Computational Perspectives on Number Theory
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  • Front Cover for Computational Perspectives on Number Theory
  • Back Cover for Computational Perspectives on Number Theory
Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin
Edited by: D. A. Buell Center for Computing Sciences, Bowie, MD
J. T. Teitelbaum University of Illinois at Chicago, Chicago, IL
A co-publication of the AMS and International Press of Boston
Available Formats:
Softcover ISBN:  978-0-8218-0880-1
Product Code:  AMSIP/7
232 pp 
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $64.00
Electronic ISBN:  978-1-4704-3798-5
Product Code:  AMSIP/7.E
232 pp 
List Price: $75.00
MAA Member Price: $67.50
AMS Member Price: $60.00
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 71998
    MSC: 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.

    Readership

    Graduate students and research mathematicians working in computational number theory.

  • Table of Contents
     
     
    • 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
  • Request Review Copy
Volume: 71998
MSC: 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.

Readership

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
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