AMS/IP Studies in Advanced Mathematics 1998; 232 pp; softcover Volume: 7 ISBN10: 082180880X ISBN13: 9780821808801 List Price: US$71 Member Price: US$56.80 Order Code: AMSIP/7
 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 copublished with International Press, Cambridge, MA. Readership Graduate students and research mathematicians working in computational number theory. Table of Contents  A. O. L. Atkin  Intelligent primality test offer
 B. Birch  Atkin and the Atlas Lab
 N. D. Elkies  Elliptic and modular curves over finite fields and related computational issues
 R. Lercier and F. Morain  Algorithms for computing isogenies between elliptic curves
 M. Kaneko and D. Zagier  Supersingular \(j\)invariants, hypergeometric series, and Atkin's orthogonal polynomials
 F. Gouvea and B. Mazur  On the density of modular representations
 R. Coleman, G. Stevens, and J. Teitelbaum  Numerical experiments on families of \(p\)adic modular forms
 A. Pizer  Ramanujan graphs
 W. Li  Elliptic curves, Kloosterman sums, and Ramanujan graphs
 K. Belabas and H. Cohen  Binary cubic forms and cubic number fields
 R. L. Bender and C. Pomerance  Rigorous discrete logarithm computations in finite fields via smooth polynomials
