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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| 主要な著者: | , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1512 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| 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 |
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| 100 | 1 | |a Adleman, Leonard M., |d 1945- | |
| 245 | 1 | 0 | |a Primality Testing and Abelian Varieties Over Finite Fields |c Leonard M. Adleman, Ming-Deh A. Huang. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1512 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 theory. In particular, the theory of two dimensional Abelian varieties over finite fields is developed. The book will be of interest to both researchers and graduate students in number theory and theoretical computer science. | ||
| 650 | |a Nombres, Théorie des | ||
| 650 | |a Analyse combinatoire | ||
| 650 | |a Variétés abéliennes | ||
| 650 | |a Corps finis | ||
| 650 | |a Nombres premiers | ||
| 650 | |a Unités arithmétiques et logiques | ||
| 700 | 1 | |a Huang, Ming-Deh A. |4 aut | |
| 776 | 0 | |0 02356170X |t Primality testing and Abelian varieties over finite fields |f Leonard M. Adleman, Ming-Deh A. Huang |c Berlin |n Springer-Verlag |d 1992 |p 1 vol. (VII-142 p.) |s Lecture notes in mathematics |z 0-387-55308-8 | |
| 776 | 0 | |t Primality Testing and Abelian Varieties Over Finite Fields |b Texte imprimé |z 9783662170595 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0090185 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-N9XVDK7F-Z |z Accès sur la plateforme Istex | |
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