Primality testing and Abelian varieties over finite fields / / Leonard M. Adleman, Ming-Deh A. Huang
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| Autore: |
Adleman Leonard M.
|
| Titolo: |
Primality testing and Abelian varieties over finite fields / / Leonard M. Adleman, Ming-Deh A. Huang
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer-Verlag, , [1992] |
| ©1992 | |
| Edizione: | 1st ed. 1992. |
| Descrizione fisica: | 1 online resource (VIII, 144 p.) |
| Disciplina: | 512.72 |
| Soggetto topico: | Numbers, Prime |
| Abelian varieties | |
| Finite fields (Algebra) | |
| Classificazione: | 14K15 |
| 11A51 | |
| 68Q25 | |
| Persona (resp. second.): | HuangMing-Deh A. |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Primality testing and abelian varieties over finite fields |
| ISBN: | 3-540-47021-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466622403316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 1512.