Primality Testing and Abelian Varieties Over Finite Fields

From Gauss to G/del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. The methods used are from arithmetic algebraic geometry, algebraic number theory and analyticnumber theor...

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Detaylı Bibliyografya
Asıl Yazarlar: Adleman, Leonard M., 1945-, Huang, Ming-Deh A. (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1512
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Edition sous un autre format:• Primality testing and Abelian varieties over finite fields, Leonard M. Adleman, Ming-Deh A. Huang, Berlin, Springer-Verlag, 1992, 1 vol. (VII-142 p.), Lecture notes in mathematics, 0-387-55308-8
• Primality Testing and Abelian Varieties Over Finite Fields, Texte imprimé, 9783662170595
İçindekiler:
  • Acknowledgement
  • Overview of the algorithm and the proof of the main theorem
  • Reduction of main theorem to three propositions
  • Proof of proposition 1
  • Proof of proposition 2
  • Proof of proposition 3.