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A Classical Introduction to Modern Number Theory [[electronic resource] /] / by Kenneth Ireland, Michael Rosen
| A Classical Introduction to Modern Number Theory [[electronic resource] /] / by Kenneth Ireland, Michael Rosen |
| Autore | Ireland Kenneth |
| Edizione | [2nd ed. 1990.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (XIV, 394 p.) |
| Disciplina | 512.7 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Number theory
Number Theory |
| ISBN | 1-4757-2103-X |
| Classificazione |
12-01
10-01 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Unique Factorization -- 2 Applications of Unique Factorization -- 3 Congruence -- 4 The Structure of U(?/n?) -- 5 Quadratic Reciprocity -- 6 Quadratic Gauss Sums -- 7 Finite Fields -- 8 Gauss and Jacobi Sums -- 9 Cubic and Biquadratic Reciprocity -- 10 Equations over Finite Fields -- 11 The Zeta Function -- 12 Algebraic Number Theory -- 13 Quadratic and Cyclotomic Fields -- 14 The Stickelberger Relation and the Eisenstein Reciprocity Law -- 15 Bernoulli Numbers -- 16 Dirichlet L-functions -- 17 Diophantine Equations -- 18 Elliptic Curves -- 19 The Mordell-Weil Theorem -- 20 New Progress in Arithmetic Geometry -- Selected Hints for the Exercises. |
| Record Nr. | UNINA-9910792477903321 |
Ireland Kenneth
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Classical Introduction to Modern Number Theory / / by Kenneth Ireland, Michael Rosen
| A Classical Introduction to Modern Number Theory / / by Kenneth Ireland, Michael Rosen |
| Autore | Ireland Kenneth |
| Edizione | [2nd ed. 1990.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 |
| Descrizione fisica | 1 online resource (XIV, 394 p.) |
| Disciplina | 512.7 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Number theory
Number Theory |
| ISBN | 1-4757-2103-X |
| Classificazione |
12-01
10-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Unique Factorization -- 2 Applications of Unique Factorization -- 3 Congruence -- 4 The Structure of U(?/n?) -- 5 Quadratic Reciprocity -- 6 Quadratic Gauss Sums -- 7 Finite Fields -- 8 Gauss and Jacobi Sums -- 9 Cubic and Biquadratic Reciprocity -- 10 Equations over Finite Fields -- 11 The Zeta Function -- 12 Algebraic Number Theory -- 13 Quadratic and Cyclotomic Fields -- 14 The Stickelberger Relation and the Eisenstein Reciprocity Law -- 15 Bernoulli Numbers -- 16 Dirichlet L-functions -- 17 Diophantine Equations -- 18 Elliptic Curves -- 19 The Mordell-Weil Theorem -- 20 New Progress in Arithmetic Geometry -- Selected Hints for the Exercises. |
| Record Nr. | UNINA-9910975421003321 |
|
Ireland Kenneth
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Course in Number Theory and Cryptography [[electronic resource] /] / by Neal Koblitz
| A Course in Number Theory and Cryptography [[electronic resource] /] / by Neal Koblitz |
| Autore | Koblitz Neal |
| Edizione | [Second Edition.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 |
| Descrizione fisica | 1 online resource (X, 235 p.) |
| Disciplina | 512.7 |
| Collana | Graduate Texts in Mathematics |
| Soggetto topico |
Number theory
Number Theory |
| ISBN | 1-4419-8592-1 |
| Classificazione |
10-01
94A05 10H99 11-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I. Some Topics in Elementary Number Theory -- 1. Time estimates for doing arithmetic -- 2. Divisibility and the Euclidean algorithm -- 3. Congruences -- 4. Some applications to factoring -- II. Finite Fields and Quadratic Residues -- 1. Finite fields -- 2. Quadratic residues and reciprocity -- III. Cryptography -- 1. Some simple cryptosystems -- 2. Enciphering matrices -- IV. Public Key -- 1. The idea of public key cryptography -- 2. RSA -- 3. Discrete log -- 4. Knapsack -- 5 Zero-knowledge protocols and oblivious transfer -- V. Primality and Factoring -- 1. Pseudoprimes -- 2. The rho method -- 3. Fermat factorization and factor bases -- 4. The continued fraction method -- 5. The quadratic sieve method -- VI. Elliptic Curves -- 1. Basic facts -- 2. Elliptic curve cryptosystems -- 3. Elliptic curve primality test -- 4. Elliptic curve factorization -- Answers to Exercises. . |
| Record Nr. | UNINA-9910479867703321 |
|
Koblitz Neal
|
||
| New York, NY : , : Springer New York : , : Imprint : Springer, , 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||