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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Detaylı Bibliyografya
Yazar: Dietzfelbinger, Martin
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri: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
İçindekiler:
  • 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.