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Cubic Fields with Geometry / / by Samuel A. Hambleton, Hugh C. Williams
| Cubic Fields with Geometry / / by Samuel A. Hambleton, Hugh C. Williams |
| Autore | Hambleton Samuel A |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (xix, 493 pages) : illustrations |
| Disciplina | 516.35 |
| Collana | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |
| Soggetto topico |
Geometry, Algebraic
Number theory Algorithms Algebraic Geometry Number Theory |
| ISBN | 3-030-01404-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1- Cubic fields -- Chapter 2- Cubic ideals and lattices -- Chapter 3- Binary cubic forms -- Chapter 4- Construction of all cubic fields of a fixed fundamental discriminant (Renate Scheidler) -- Chapter 5- Cubic Pell equations -- Chapter 6- The minima of forms and units by approximation -- Chapter 7- Voronoi's theory of continued fractions -- Chapter 8- Relative minima adjacent to 1 in a reduced lattice -- Chapter 9- Parametrization of norm 1 elements of K -- Tables and References -- Author Index -- Symbol Index -- General Index. |
| Record Nr. | UNINA-9910300110003321 |
Hambleton Samuel A
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Enchantment of Numbers / / by Eric L. F. Roettger, Hugh C. Williams
| The Enchantment of Numbers / / by Eric L. F. Roettger, Hugh C. Williams |
| Autore | Roettger Eric L. F |
| Edizione | [1st ed. 2025.] |
| Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 |
| Descrizione fisica | 1 online resource (550 pages) |
| Disciplina | 510 |
| Altri autori (Persone) | WilliamsHugh C |
| Collana | CMS/CAIMS Books in Mathematics |
| Soggetto topico |
Mathematics
Number theory General Mathematics and Education Number Theory |
| ISBN | 3-031-76568-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Division, factors, primes, congruences, gcd, etc -- Representations of Integers -- Integer Powers -- The Binomial Congruence -- The Binomial Coefficients -- Public-Key Cryptography -- Fibonacci and Lucas Numbers -- Sociable Numbers -- Lucas and Lehmer Sequences -- Primality -- Prime Curios -- Linear Recurrence Sequences -- Simple Continued Fractions -- Integer Factorization -- Sieve Devices -- Simple Continued Fraction of √𝑫 -- Formulas for Primes -- The Pell Equation -- Some Diophantine Equations -- Conclusion. |
| Record Nr. | UNINA-9911015860403321 |
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Roettger Eric L. F
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| Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The Lucas Sequences : Theory and Applications / / by Christian J.-C. Ballot, Hugh C. Williams
| The Lucas Sequences : Theory and Applications / / by Christian J.-C. Ballot, Hugh C. Williams |
| Autore | Ballot Christian J. -C |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 |
| Descrizione fisica | 1 online resource (312 pages) |
| Disciplina | 512.72 |
| Altri autori (Persone) | WilliamsHugh C |
| Collana | CMS/CAIMS Books in Mathematics |
| Soggetto topico |
Number theory
Number Theory |
| ISBN | 3-031-37238-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Introduction -- 2. Basic theory of Lucas sequences -- 3. Applications -- 4. Further Properties -- 5. Some Properties of Lucasnomials -- 6. Cubic Extensions of the Lucas Sequences -- 7. Linear Recurrence Sequences and Further Generalizations -- 8. Divisibility Sequences and Further Generalizations -- 9. Prime Density of Companion Lucas Sequences -- 10. Epilogue and Open Problems. . |
| Record Nr. | UNINA-9910754099203321 |
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Ballot Christian J. -C
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Public-key cryptography and computational number theory [[electronic resource] ] : proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000 / / editors, Kazimierz Alster, Jerzy Urbanowicz, Hugh C. Williams
| Public-key cryptography and computational number theory [[electronic resource] ] : proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000 / / editors, Kazimierz Alster, Jerzy Urbanowicz, Hugh C. Williams |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2001 |
| Descrizione fisica | xii, 331 p |
| Disciplina | 003/.54 |
| Altri autori (Persone) |
AlsterKazimierz
UrbanowiczJerzy <1951-> WilliamsHugh C |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Coding theory
Public key cryptography |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-088103-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Mathematics, cryptology, and technology / Odlyzko, Andrew -- Table of contents -- A survey on IQ cryptography / Buchmann, Johannes / Hamdy, Safuat -- Algebraic groups and discrete logarithm / Couveignes, Jean-Marc -- Fermat numbers, Wieferich and Wilson primes: computations and generalizations / Dilcher, Karl / Enge, Andreas -- How to distinguish hyperelliptic curves in even characteristic / Enge, Andreas -- Limitations of constructive Weil descent / Galbraith, Steven D. -- On the security of a public-key cryptosystem / Grošek, Otokar / Magliveras, Spyros S. / Wei, Wandi -- Optimizations for NTRU / Hoffstein, Jeffrey / Silverman, Joseph -- The efficiency and security of a real quadratic field based key exchange protocol / Jacobson, Michael J. / Scheidler, Renate / Williams, Hugh C. -- Extending the binary gcd algorithms / Kubiak, Przemysław -- Stochastic kleptography detection / Kucner, Daniel / Kutylowski, Miroslaw -- An overview of the XTR public key system / Lenstra, Arjen K. / Verheul, Eric R. -- A survey of IND-CCA secure public-key encryption schemes relative to factoring / Müller, Siguna -- Efficient point multiplication for elliptic curves over special optimal extension fields / Müller, Volker -- Error-correcting codes and cryptography / Niederreiter, Harald -- Secret public key schemes / Patarin, Jacques -- Index form surfaces and construction of elliptic curves over large finite fields / Pethő, Attila -- On the size of solutions of the inequality φ(ax + b) < φ(ax) / Riele, Herman te -- Security of DL-encryption and signatures against generic attacks-a survey / Schnorr, Claus Peter -- Square-root algorithms for the discrete logarithm problem (a survey) / Teske, Edlyn -- Height functions on elliptic curves / Zimmer, Horst G. -- List of participants -- List of contributors |
| Record Nr. | UNINA-9910462265003321 |
| Berlin ; ; New York, : Walter de Gruyter, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Public-key cryptography and computational number theory [[electronic resource] ] : proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000 / / editors, Kazimierz Alster, Jerzy Urbanowicz, Hugh C. Williams
| Public-key cryptography and computational number theory [[electronic resource] ] : proceedings of the international conference organized by the Stefan Banach International Mathematical Center, Warsaw, Poland, September 11-15, 2000 / / editors, Kazimierz Alster, Jerzy Urbanowicz, Hugh C. Williams |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2001 |
| Descrizione fisica | xii, 331 p |
| Disciplina | 003/.54 |
| Altri autori (Persone) |
AlsterKazimierz
UrbanowiczJerzy <1951-> WilliamsHugh C |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Coding theory
Public key cryptography |
| ISBN | 3-11-088103-9 |
| Classificazione | SD 2000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Mathematics, cryptology, and technology / Odlyzko, Andrew -- Table of contents -- A survey on IQ cryptography / Buchmann, Johannes / Hamdy, Safuat -- Algebraic groups and discrete logarithm / Couveignes, Jean-Marc -- Fermat numbers, Wieferich and Wilson primes: computations and generalizations / Dilcher, Karl / Enge, Andreas -- How to distinguish hyperelliptic curves in even characteristic / Enge, Andreas -- Limitations of constructive Weil descent / Galbraith, Steven D. -- On the security of a public-key cryptosystem / Grošek, Otokar / Magliveras, Spyros S. / Wei, Wandi -- Optimizations for NTRU / Hoffstein, Jeffrey / Silverman, Joseph -- The efficiency and security of a real quadratic field based key exchange protocol / Jacobson, Michael J. / Scheidler, Renate / Williams, Hugh C. -- Extending the binary gcd algorithms / Kubiak, Przemysław -- Stochastic kleptography detection / Kucner, Daniel / Kutylowski, Miroslaw -- An overview of the XTR public key system / Lenstra, Arjen K. / Verheul, Eric R. -- A survey of IND-CCA secure public-key encryption schemes relative to factoring / Müller, Siguna -- Efficient point multiplication for elliptic curves over special optimal extension fields / Müller, Volker -- Error-correcting codes and cryptography / Niederreiter, Harald -- Secret public key schemes / Patarin, Jacques -- Index form surfaces and construction of elliptic curves over large finite fields / Pethő, Attila -- On the size of solutions of the inequality φ(ax + b) < φ(ax) / Riele, Herman te -- Security of DL-encryption and signatures against generic attacks-a survey / Schnorr, Claus Peter -- Square-root algorithms for the discrete logarithm problem (a survey) / Teske, Edlyn -- Height functions on elliptic curves / Zimmer, Horst G. -- List of participants -- List of contributors |
| Record Nr. | UNINA-9910785814603321 |
| Berlin ; ; New York, : Walter de Gruyter, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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