Computational perspectives on number theory : proceedings of a conference in honor of A.O.L. Atkin, September 1995, University of Illinois at Chicago
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書誌事項
Computational perspectives on number theory : proceedings of a conference in honor of A.O.L. Atkin, September 1995, University of Illinois at Chicago
（AMS/IP studies in advanced mathematics, v. 7）
American Mathematical Society , International Press, c1998
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注記
Includes bibliographical references
"This volume contains ... at the conference "Computational Perspectives on Number Theory"" -- Pref
内容説明・目次
内容説明
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.
目次
Intelligent 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.
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