Computational perspectives on number theory : proceedings of a conference in honor of A. O. L. Atkin, September 1995, University of Illinois at Chicago / D. A. Buell and J. T. Teitelbaum, editors.
Series AMS/IP studies in advanced mathematics, v. 7Editor: [Providence, R.I.] : American Mathematical Society, International Press, c1998Descripción: ix, 232 p. ; 26 cmISBN: 082180880XOtra clasificación: 11-06 (00B30 11Yxx)A. O. L. Atkin, Intelligent primality test offerB. Birch [Bryan J. Birch], Atkin and the Atlas labNoam D. Elkies, Elliptic and modular curves over finite fields and related computational issuesR. Lercier and F. Morain, Algorithms for computing isogenies between elliptic curvesM. Kaneko [Masanobu Kaneko] and D. Zagier, Supersingular $j$-invariants, hypergeometric series, and Atkin's orthogonal polynomialsFernando Q. Gouvêa and Barry Mazur, On the density of modular representationsR. Coleman [Robert F. Coleman], G. Stevens [Glenn Stevens] and J. Teitelbaum, Numerical experiments on families of $p$-adic modular formsArnold K. Pizer, Ramanujan graphsWen-Ching Winnie Li, Elliptic curves, Kloosterman sums and Ramanujan graphsK. Belabas and H. Cohen [Henri Cohen], Binary cubic forms and cubic number fieldsRenet Lovorn Bender and Carl Pomerance, Rigorous discrete logarithm computations in finite fields via smooth polynomials.
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Includes bibliographical references.
A. O. L. Atkin, Intelligent primality test offer -- B. Birch [Bryan J. Birch], Atkin and the Atlas lab -- Noam 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 [Masanobu Kaneko] and D. Zagier, Supersingular $j$-invariants, hypergeometric series, and Atkin's orthogonal polynomials -- Fernando Q. Gouvêa and Barry Mazur, On the density of modular representations -- R. Coleman [Robert F. Coleman], G. Stevens [Glenn Stevens] and J. Teitelbaum, Numerical experiments on families of $p$-adic modular forms -- Arnold K. Pizer, Ramanujan graphs -- Wen-Ching Winnie Li, Elliptic curves, Kloosterman sums and Ramanujan graphs -- K. Belabas and H. Cohen [Henri Cohen], Binary cubic forms and cubic number fields -- Renet Lovorn Bender and Carl Pomerance, Rigorous discrete logarithm computations in finite fields via smooth polynomials.
MR, 98g:11001
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