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Computational Perspectives on Number Theory: Proceedings of a Conference in Honor of A. O. L. Atkin
About this Title
D. A. Buell, Center for Computing Sciences, Bowie, MD and J. T. Teitelbaum, University of Illinois at Chicago, Chicago, IL, Editors
Publication: AMS/IP Studies in Advanced Mathematics
Publication Year:
1998; Volume 7
ISBNs: 978-0-8218-0880-1 (print); 978-1-4704-3798-5 (online)
DOI: https://doi.org/10.1090/amsip/007
MathSciNet review: MR1486828
MSC: Primary 11-01; Secondary 00B30, 11Yxx
ReadershipTable of Contents
Front/Back Matter
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