Primality testing in polynomial time : from randomized algorithms to "PRIMES is in P"

On August 6, 2002,a paper with the title PRIMES is in P , by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India. In this paper it was shown that the primality problem hasa deterministic algorithm that runs in polynomial time . Finding...

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Bibliografiske detaljer
Hovedforfatter: Dietzfelbinger, Martin
Format: Livre numérique
Sprog:Anglais
Udgivet: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serier:Lecture notes in computer science 3000
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Edition sous un autre format:• Primality testing in polynomial time, from randomized algorithms to "PRIMES is in P", Martin Dietzfelbinger, 2004, Berlin, Springer, 1 vol. (X-147 p.), Lecture notes in computer science, 3-540-40344-2
• Primality Testing in Polynomial Time, Texte imprimé, 9783662174456
Indholdsfortegnelse:
  • 1. Introduction: Efficient Primality Testing
  • 2. Algorithms for Numbers and Their Complexity
  • 3. Fundamentals from Number Theory
  • 4. Basics from Algebra: Groups, Rings, and Fields
  • 5. The Miller-Rabin Test
  • 6. The Solovay-Strassen Test
  • 7. More Algebra: Polynomials and Fields
  • 8. Deterministic Primality Testing in Polynomial Time
  • A. Appendix.