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A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen
| A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen |
| Autore | Ireland, Kenneth |
| Pubbl/distr/stampa | New York, : Springer, 1982 |
| Descrizione fisica | xiii, 344 p. ; 24 cm |
| Altri autori (Persone) | Rosen, Michael |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Rxx - Algebraic number theory: global fields [MSC 2020] 11Axx - Elementary number theory [MSC 2020] 12-XX - Field theory and polynomials [MSC 2020] 11Dxx - Diophantine equations [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11Mxx - Zeta and L-functions: analitic theory [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic number theory Arithmetic Diophantine Equations Elliptical Curves Finite fields Geometry Number theory Zeta functions |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268463 |
Ireland, Kenneth
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| New York, : Springer, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen
| A classical introduction to modern number theory / Kenneth Ireland, Michael Rosen |
| Autore | Ireland, Kenneth |
| Pubbl/distr/stampa | New York, : Springer, 1982 |
| Descrizione fisica | xiii, 344 p. ; 24 cm |
| Altri autori (Persone) | Rosen, Michael I. |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Axx - Elementary number theory [MSC 2020] 11Dxx - Diophantine equations [MSC 2020] 11Mxx - Zeta and L-functions: analitic theory [MSC 2020] 11Rxx - Algebraic number theory: global fields [MSC 2020] 12-XX - Field theory and polynomials [MSC 2020] 14H52 - Elliptic curves [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Number Theory Arithmetic Diophantine Equations Elliptical Curves Finite fields Geometry Number theory Zeta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This book is a revised and greatly expanded version of our book Elements of Number Theory published in 1972. As with the first book the primary audience we envisage consists of upper level undergraduate mathematics majors and graduate students. We have assumed some familiarity with the material in a standard undergraduate course in abstract algebra. A large portion of Chapters 1-11 can be read even without such background with the aid of a small amount of supplementary reading. The later chapters assume some knowledge of Galois theory, and in Chapters 16 and 18 an acquaintance with the theory of complex variables is necessary. Number theory is an ancient subject and its content is vast. Any intro ductory book must, of necessity, make a very limited selection from the fascinat ing array of possible topics. Our focus is on topics which point in the direction of algebraic number theory and arithmetic algebraic geometry. By a careful selection of subject matter we have found it possible to exposit some rather advanced material without requiring very much in the way oftechnical background. Most of this material is classical in the sense that is was dis covered during the nineteenth century and earlier, but it is also modern because it is intimately related to important research going on at the present time. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268463 |
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Ireland, Kenneth
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| New York, : Springer, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Scrapbook of Complex Curve Theory / C. Herbert Clemens
| A Scrapbook of Complex Curve Theory / C. Herbert Clemens |
| Autore | Clemens, C. Herbert |
| Pubbl/distr/stampa | New York, : Plenum, 1980 |
| Descrizione fisica | ix, 186 p. : ill. ; 24 cm |
| Soggetto topico |
14-XX - Algebraic geometry [MSC 2020]
14K25 - Theta functions and abelian varieties [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 30F10 - Compact Riemann surfaces and uniformization [MSC 2020] 14H40 - Jacobians, Prym varieties [MSC 2020] 32Pxx - Non-Archimedean analysis [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic curves Functions Impress Moduli Spaces Schottky problem Theta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0268310 |
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Clemens, C. Herbert
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| New York, : Plenum, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A Scrapbook of Complex Curve Theory / C. Herbert Clemens
| A Scrapbook of Complex Curve Theory / C. Herbert Clemens |
| Autore | Clemens, C. Herbert |
| Pubbl/distr/stampa | New York, : Plenum, 1980 |
| Descrizione fisica | ix, 186 p. : ill. ; 24 cm |
| Soggetto topico |
14-XX - Algebraic geometry [MSC 2020]
14H40 - Jacobians, Prym varieties [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 14K25 - Theta functions and abelian varieties [MSC 2020] 30F10 - Compact Riemann surfaces and uniformization [MSC 2020] 32Pxx - Non-Archimedean analysis [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Curves Functions Impress Moduli Spaces Schottky problem Theta functions |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This is a book of "impressions" of a journey through the theory of com plex algebraic curves. It is neither self-contained, balanced, nor particularly tightly organized. As with any notebook made on a journey, what appears is that which strikes the writer's fancy. Some topics appear because of their compelling intrinsic beauty. Others are left out because, for all their impor tance, the traveler found them boring or was too dull or lazy to give them their due. Looking back at the end of the journey, one can see that a common theme in fact does emerge, as is so often the case; that theme is the theory of theta functions. In fact very much of the material in the book is prepara tion for our study of the final topic, the so-called Schottky problem. More than once, in fact, we tear ourselves away from interesting topics leading elsewhere and return to our main route. |
| Record Nr. | UNICAMPANIA-VAN00268310 |
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Clemens, C. Herbert
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| New York, : Plenum, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman
| Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman |
| Autore | Silverman, Joseph H. |
| Pubbl/distr/stampa | New York, : Springer, 1994 |
| Descrizione fisica | XIII, 525 p. : ill. ; 24 cm. |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
14-XX - Algebraic geometry [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11G05 - Elliptic curves over global fields [MSC 2020] 14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 11G07 - Elliptic curves over local fields [MSC 2020] 14G40 - Arithmetic varieties and schemes; Arakelov theory; heights [MSC 2020] |
| ISBN |
978-03-87943-28-2
03-87943-25-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0051138 |
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Silverman, Joseph H.
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| New York, : Springer, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman
| Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman |
| Autore | Silverman, Joseph H. |
| Pubbl/distr/stampa | New York, : Springer, 1994 |
| Descrizione fisica | XIII, 525 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
14-XX - Algebraic geometry [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11G05 - Elliptic curves over global fields [MSC 2020] 14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 11G07 - Elliptic curves over local fields [MSC 2020] 14G40 - Arithmetic varieties and schemes; Arakelov theory; heights [MSC 2020] |
| ISBN |
03-87943-25-0
978-03-87943-28-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0051138 |
|
Silverman, Joseph H.
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||
| New York, : Springer, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman
| Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman |
| Autore | Silverman, Joseph H. |
| Pubbl/distr/stampa | New York, : Springer, 1994 |
| Descrizione fisica | xiii, 525 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11G05 - Elliptic curves over global fields [MSC 2020] 11G07 - Elliptic curves over local fields [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 14-XX - Algebraic geometry [MSC 2020] 14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020] 14G40 - Arithmetic varieties and schemes; Arakelov theory; heights [MSC 2020] 14H52 - Elliptic curves [MSC 2020] |
| Soggetto non controllato |
Algebraic Surfaces
Arithmetic Divisor Divisor Elliptic Curves Elliptic Curves Modular curves |
| ISBN |
03-87943-25-0
978-03-87943-28-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00051138 |
|
Silverman, Joseph H.
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||
| New York, : Springer, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman
| Advanced topics in the arithmetic of elliptic curves / Joseph H. Silverman |
| Autore | Silverman, Joseph H. |
| Pubbl/distr/stampa | New York, : Springer, 1994 |
| Descrizione fisica | xiii, 525 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11G05 - Elliptic curves over global fields [MSC 2020] 11G07 - Elliptic curves over local fields [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 14-XX - Algebraic geometry [MSC 2020] 14G10 - Zeta-functions and related questions (Birch-Swinnerton-Dyer conjecture) [MSC 2020] 14G40 - Arithmetic varieties and schemes; Arakelov theory; heights [MSC 2020] 14H52 - Elliptic curves [MSC 2020] |
| Soggetto non controllato |
Algebraic Surfaces
Arithmetic Divisor Divisor Elliptic Curves Elliptic Curves Modular curves |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00292669 |
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Silverman, Joseph H.
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| New York, : Springer, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression / Arkadii Slinko
| Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression / Arkadii Slinko |
| Autore | Slinko, Arkadii |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | xiv, 368 p. : ill. ; 24 cm |
| Soggetto topico |
94A60 - Cryptography [MSC 2020]
68P30 - Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) [MSC 2020] 11T71 Algebraic coding theory; cryptography [MSC 2020] 14G50 - Applications to coding theory and cryptography of algebraic geometry [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 11Y16 - Number-theoretic algorithms; complexity [MSC 2020] 11Y11 - Primality [MSC 2020] 11Y05 - Factorization [MSC 2020] 68P25 - Data encryption [MSC 2020] 11T06 - Polynomials over finite fields [MSC 2020] 11C08 - Polynomials in number theory [MSC 2020] 11A51 - Factorization; primality [MSC 2020] 11A05 - Multiplicative structure; Euclidean algorithm; greatest common divisors [MSC 2020] 94A62 - Authentication, digital signatures and secret sharing [MSC 2020] 12E20 - Finite fields (field-theoretic aspects) [MSC 2020] 20B30 - Symmetric groups [MSC 2020] 11C20 - Matrices, determinants in number theory [MSC 2020] 20A05 - Axiomatics and elementary properties of groups [MSC 2020] |
| Soggetto non controllato |
BCH Code
Diffie-Hellman Digital signature Elgamal Cryptosystem Error-Correcting Codes Euler Totient Function Fingerprinting Codes Fitingof Compression Code Huffman compression code Ideal secret sharing scheme Lagrange Interpolation Linear Secret Sharing Scheme Miller-Rabin Pseudoprimality Test Prefix Codes Primality Testing Public key cryptography RSA Cryptosystem Reed-Solomon Codes Secret key cryptography Shamir’s Secret Sharing Scheme |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0248643 |
|
Slinko, Arkadii
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||
| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression / Arkadii Slinko
| Algebra for applications : cryptography, secret sharing, error-correcting, fingerprinting, compression / Arkadii Slinko |
| Autore | Slinko, Arkadii |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2020 |
| Descrizione fisica | 1 testo elettronico (xiv, 368 p. : ill.) |
| Soggetto topico |
11A05 - Multiplicative structure; Euclidean algorithm; greatest common divisors [MSC 2020]
11A51 - Factorization; primality [MSC 2020] 11C08 - Polynomials in number theory [MSC 2020] 11C20 - Matrices, determinants in number theory [MSC 2020] 11T06 - Polynomials over finite fields [MSC 2020] 11T71 - Algebraic coding theory; cryptography [MSC 2020] 11Y05 - Factorization [MSC 2020] 11Y11 - Primality [MSC 2020] 11Y16 - Number-theoretic algorithms; complexity [MSC 2020] 12E20 - Finite fields (field-theoretic aspects) [MSC 2020] 14G50 - Applications to coding theory and cryptography of algebraic geometry [MSC 2020] 14H52 - Elliptic curves [MSC 2020] 20A05 - Axiomatics and elementary properties of groups [MSC 2020] 20B30 - Symmetric groups [MSC 2020] 68P25 - Data encryption [MSC 2020] 68P30 - Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) [MSC 2020] 94A60 - Cryptography [MSC 2020] 94A62 - Authentication, digital signatures and secret sharing [MSC 2020] |
| Soggetto non controllato |
BCH Code
Diffie-Hellman Digital Signature Elgamal Cryptosystem Error-Correcting Codes Euler Totient Function Fingerprinting Codes Fitingof Compression Code Huffman compression code Ideal secret sharing scheme Lagrange Interpolation Linear Secret Sharing Scheme Miller-Rabin Pseudoprimality Test Prefix Codes Primality Testing Public key cryptography RSA Cryptosystem Reed-Solomon Codes Secret key cryptography Shamir’s Secret Sharing Scheme |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00248643 |
|
Slinko, Arkadii
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||
| Cham, : Springer, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
