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Classical diophantine equations / / Vladimir G. Sprindzuk
| Classical diophantine equations / / Vladimir G. Sprindzuk |
| Autore | Sprindzuk Vladimir G. |
| Edizione | [1st ed. 1993.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1993] |
| Descrizione fisica | 1 online resource (XII, 236 p.) |
| Disciplina | 512.74 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Diophantine equations |
| ISBN | 3-540-48083-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Origins -- Algebraic foundations -- Linear forms in the logarithms of algebraic numbers -- The Thue equation -- The Thue-Mahler equation -- Elliptic and hyperelliptic equations -- Equations of hyperelliptic type -- The class number value problem -- Reducibility of polynomials and diophantine equations. |
| Record Nr. | UNISA-996466663603316 |
Sprindzuk Vladimir G.
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| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1993] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Computational problems, methods, and results in algebraic number theory / / Horst G. Zimmer
| Computational problems, methods, and results in algebraic number theory / / Horst G. Zimmer |
| Autore | Zimmer Horst G. |
| Edizione | [1st ed. 1972.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1972] |
| Descrizione fisica | 1 online resource (VI, 110 p.) |
| Disciplina | 512.74 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Algebraic number theory
Polynomials Diophantine equations |
| ISBN | 3-540-37466-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Finite fields -- Factorization of polynomials -- Galois groups -- Continued fractions -- Field extensions -- Modules and orders -- Products of linear forms -- Units in algebraic number fields -- Class numbers of algebraic number fields -- Class groups and class fields of algebraic number fields -- Diophantine equations -- The hasse principle for cubic surfaces. |
| Record Nr. | UNISA-996466533503316 |
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Zimmer Horst G.
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| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1972] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Cubic forms and the circle method / / Tim Browning
| Cubic forms and the circle method / / Tim Browning |
| Autore | Browning Tim <1976-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (175 pages) |
| Disciplina | 512.74 |
| Collana | Progress in mathematics |
| Soggetto topico |
Hardy-Littlewood method
Diophantine equations Geometria algebraica Anàlisi diofàntica Number theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030868727
9783030868710 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466564603316 |
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Browning Tim <1976->
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Cubic forms and the circle method / / Tim Browning
| Cubic forms and the circle method / / Tim Browning |
| Autore | Browning Tim <1976-> |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (175 pages) |
| Disciplina | 512.74 |
| Collana | Progress in mathematics |
| Soggetto topico |
Hardy-Littlewood method
Diophantine equations Geometria algebraica Anàlisi diofàntica Number theory |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030868727
9783030868710 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910510582203321 |
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Browning Tim <1976->
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| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Diophantine approximations and diophantine equations / / Wolfgang M. Schmidt
| Diophantine approximations and diophantine equations / / Wolfgang M. Schmidt |
| Autore | Schmidt Wolfgang M. <1933-> |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1996] |
| Descrizione fisica | 1 online resource (VIII, 224 p.) |
| Disciplina | 512.73 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Diophantine approximation
Diophantine equations |
| ISBN | 3-540-47374-2 |
| Classificazione |
11Dxx
11Jxx |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Siegel’s lemma and heights -- Diophantine approximation -- The thue equation -- S-unit equations and hyperelliptic equations -- Diophantine equations in more than two variables. |
| Record Nr. | UNISA-996466473003316 |
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Schmidt Wolfgang M. <1933->
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| Berlin, Heidelberg : , : Springer-Verlag, , [1996] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Diophantine approximations and diophantine equations / Wolfgang M. Schmidt
| Diophantine approximations and diophantine equations / Wolfgang M. Schmidt |
| Autore | Schmidt, Wolfgang M. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1991 |
| Descrizione fisica | 217 p. : ill. ; 24 cm |
| Disciplina | 512.74 |
| Collana | Lecture notes in mathematics, ISSN 0075-8434; 1467 |
| Soggetto topico |
Diophantine approximation
Diophantine equations |
| ISBN | 354054058X |
| Classificazione |
AMS 11J25
AMS 11J68 AMS 11D57 LC QA3.L28 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991004024709707536 |
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Schmidt, Wolfgang M.
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| Berlin : Springer-Verlag, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Diophantine equations over function fields / R. C. Mason
| Diophantine equations over function fields / R. C. Mason |
| Autore | Mason, R. C. |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 1984 |
| Descrizione fisica | x, 125 p. ; 23 cm |
| Disciplina | 512.74 |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 96 |
| Soggetto topico |
Algebraic fields
Diophantine equations |
| ISBN | 0521269830 |
| Classificazione |
AMS 11D
QA242 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000827869707536 |
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Mason, R. C.
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| Cambridge ; New York : Cambridge University Press, 1984 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Discriminant equations in Diophantine number theory / / Janj-Hendrik Evertse, Kálmán Györy [[electronic resource]]
| Discriminant equations in Diophantine number theory / / Janj-Hendrik Evertse, Kálmán Györy [[electronic resource]] |
| Autore | Evertse J. H. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2017 |
| Descrizione fisica | 1 online resource (xviii, 457 pages) : digital, PDF file(s) |
| Disciplina | 512.74 |
| Collana | New Mathematical monographs |
| Soggetto topico | Diophantine equations |
| ISBN |
1-316-72721-1
1-316-72841-2 1-316-72861-7 1-316-16076-9 1-316-72881-1 1-316-72961-3 1-316-72901-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Half title; Series; Title; Copyright; Contents; Preface; Acknowledgments; Summary; Part One Preliminaries; 1 Finite Étale Algebras over Fields; 1.1 Terminology for Rings and Algebras; 1.2 Finite Field Extensions; 1.3 Basic Facts on Finite Étale Algebras over Fields; 1.4 Resultants and Discriminants of Polynomials; 1.5 Characteristic Polynomial, Trace, Norm, Discriminant; 1.6 Integral Elements and Orders; 2 Dedekind Domains; 2.1 Definitions; 2.2 Ideal Theory of Dedekind Domains; 2.3 Discrete Valuations; 2.4 Localization; 2.5 Integral Closure in Finite Field Extensions
2.6 Extensions of Discrete Valuations2.7 Norms of Ideals; 2.8 Discriminant and Different; 2.9 Lattices over Dedekind Domains; 2.10 Discriminants of Lattices of Étale Algebras; 3 Algebraic Number Fields; 3.1 Definitions and Basic Results; 3.1.1 Absolute Norm of an Ideal; 3.1.2 Discriminant, Class Number, Unit Group and Regulator; 3.1.3 Explicit Estimates; 3.2 Absolute Values: Generalities; 3.3 Absolute Values and Places on Number Fields; 3.4 S-integers, S-units and S-norm; 3.5 Heights and Houses; 3.6 Estimates for Units and S-units 3.7 Effective Computations in Number Fields and Étale Algebras3.7.1 Algebraic Number Fields; 3.7.2 Relative Extensions and Finite Étale Algebras; 4 Tools from the Theory of Unit Equations; 4.1 Effective Results over Number Fields; 4.1.1 Equations in Units of Rings of Integers; 4.1.2 Equations with Unknowns from a Finitely Generated Multiplicative Group; 4.2 Effective Results over Finitely Generated Domains; 4.3 Ineffective Results, Bounds for the Number of Solutions; Part Two Monic Polynomials and Integral Elements of Given Discriminant, Monogenic Orders; 5 Basic Finiteness Theorems 5.1 Basic Facts on Finitely Generated Domains5.2 Discriminant Forms and Index Forms; 5.3 Monogenic Orders, Power Bases, Indices; 5.4 Finiteness Results; 5.4.1 Discriminant Equations for Monic Polynomials; 5.4.2 Discriminant Equations for Integral Elements in Étale Algebras; 5.4.3 Discriminant Form and Index Form Equations; 5.4.4 Consequences for Monogenic Orders; 6 Effective Results over Z; 6.1 Discriminant Form and Index Form Equations; 6.2 Applications to Integers in a Number Field; 6.3 Proofs; 6.4 Algebraic Integers of Arbitrary Degree; 6.5 Proofs 6.6 Monic Polynomials of Given Discriminant6.7 Proofs; 6.8 Notes; 6.8.1 Some Related Results; 6.8.2 Generalizations over Z; 6.8.3 Other Applications; 7 Algorithmic Resolution of Discriminant Form and Index Form Equations; 7.1 Solving Discriminant Form and Index Form Equations via Unit Equations, A General Approach; 7.1.1 Quintic Number Fields; 7.1.2 Examples; 7.2 Solving Discriminant Form and Index Form Equations via Thue Equations; 7.2.1 Cubic Number Fields; 7.2.2 Quartic Number Fields; 7.2.3 Examples; 7.3 The Solvability of Index Equations in Various Special Number Fields; 7.4 Notes 8 Effective Results over the S-integers of a Number Field |
| Record Nr. | UNINA-9910136612203321 |
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Evertse J. H.
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| Cambridge : , : Cambridge University Press, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elliptic diophantine equations / / by Nikos Tzanakis
| Elliptic diophantine equations / / by Nikos Tzanakis |
| Autore | Tzanakis Nikos <1952-> |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter, , [2013] |
| Descrizione fisica | 1 online resource (196 p.) |
| Disciplina | 512.7/2 |
| Collana | De Gruyter Series in Discrete Mathematics and Applications |
| Soggetto topico |
Diophantine equations
Elliptic functions |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-028114-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1 Elliptic curves and equations -- Chapter 2 Heights -- Chapter 3 Weierstrass equations over C and R -- Chapter 4 The elliptic logarithm method -- Chapter 5 Linear form for the Weierstrass equation -- Chapter 6 Linear form for the quartic equation -- Chapter 7 Linear form for simultaneous Pell equations -- Chapter 8 Linear form for the general elliptic equation -- Chapter 9 Bound for the coefficients of the linear form -- Chapter 10 Reducing the bound obtained in Chapter 9 -- Chapter 11 S-integer solutions of Weierstrass equations -- List of symbols -- Bibliography -- Index |
| Record Nr. | UNINA-9910462699403321 |
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Tzanakis Nikos <1952->
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| Berlin ; ; Boston : , : Walter de Gruyter, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elliptic diophantine equations / / by Nikos Tzanakis
| Elliptic diophantine equations / / by Nikos Tzanakis |
| Autore | Tzanakis Nikos <1952-> |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter, , [2013] |
| Descrizione fisica | 1 online resource (196 p.) |
| Disciplina | 512.7/2 |
| Collana | De Gruyter Series in Discrete Mathematics and Applications |
| Soggetto topico |
Diophantine equations
Elliptic functions |
| Soggetto non controllato |
Algebraic Number Theory
Computational Method Diophantine Geometry Elliptic Diophantine Equation Magma |
| ISBN | 3-11-028114-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1 Elliptic curves and equations -- Chapter 2 Heights -- Chapter 3 Weierstrass equations over C and R -- Chapter 4 The elliptic logarithm method -- Chapter 5 Linear form for the Weierstrass equation -- Chapter 6 Linear form for the quartic equation -- Chapter 7 Linear form for simultaneous Pell equations -- Chapter 8 Linear form for the general elliptic equation -- Chapter 9 Bound for the coefficients of the linear form -- Chapter 10 Reducing the bound obtained in Chapter 9 -- Chapter 11 S-integer solutions of Weierstrass equations -- List of symbols -- Bibliography -- Index |
| Record Nr. | UNINA-9910787646803321 |
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Tzanakis Nikos <1952->
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| Berlin ; ; Boston : , : Walter de Gruyter, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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