Description
Book SynopsisContains 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. This work covers a range of topics, including algebraic number theory, $p$-adic modular forms and modular curves.
Table of ContentsIntelligent primality test offer by A. O. L. Atkin and the Atlas Lab by B. Birch Elliptic and modular curves over finite fields and related computational issues by N. D. Elkies Algorithms for computing isogenies between elliptic curves by R. Lercier and F. Morain Supersingular $j$-invariants, hypergeometric series, and Atkin's orthogonal polynomials by M. Kaneko and D. Zagier On the density of modular representations by F. Gouvea and B. Mazur Numerical experiments on families of $p$-adic modular forms by R. Coleman, G. Stevens, and J. Teitelbaum Ramanujan graphs by A. Pizer Elliptic curves, Kloosterman sums, and Ramanujan graphs by W. Li Binary cubic forms and cubic number fields by K. Belabas and H. Cohen Rigorous discrete logarithm computations in finite fields via smooth polynomials by R. L. Bender and C. Pomerance.
