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Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
| Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno |
| Autore | Moreno Carlos J. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (202 p.) |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Algebraic fields |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7601-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 0. Introduction""; ""Â1. A historical perspective""; ""Â2. The explicit formulas: motivation""; ""Chapter I. Galois Theory for Infinite Extensions""; ""Â1. Fundamental Theorem of Galois Theory for infinite extensions""; ""Â2. Topological properties of Gal(K'/K)""; ""Â3. Example""; ""Chapter II. Projective Limits""; ""Â1. Basic definitions""; ""Â2. Examples""; ""Â3. Homomorphisms""; ""Chapter III. Elementary Theory of l-adic Integration""; ""Â1. Distributions and measures""; ""Â2. Measures on groups""; ""Â3. Riemann sums""
""Â4. l-adic Haar measures""""Â5. Examples""; ""Chapter IV. Ramification Theory""; ""Â1. The v-function""; ""Â2. Transitivity properties of the v-function""; ""Â3. The different""; ""Â4. Transitivity properties of the different""; ""Â5. Complementary basis""; ""Â6. Fundamental inequality and the C-invariant""; ""Â7. Quotients of Galois groups and Herbrand's Theorem""; ""Chapter V. Multiplicative versus Additive Reduction""; ""Â1. The case of a local field""; ""Â2. The module structure of the unit group""; ""Â3. The case of an elliptic curve"" ""Chapter VI. Ramification of Abelian Extensions""""Â1. Index computations""; ""Â2. Main Theorem""; ""Chapter VII. The Weil Groups of a Local Field""; ""Â1. The Frobenius automorphism""; ""Â2. The relative Weil group of a non-archimedean local field""; ""Â3. The absolute Weil group""; ""Â4. The Weil group of an archimedean local field""; ""Â5. The Weil-Deligne group""; ""Appendix: The non-abelian local reciprocity law""; ""Chapter VIII. Shafarevitch's Theorem""; ""Â1. Representations of a simple algebra""; ""Â2. Factor sets""; ""Â3. Subalgebras of central simple algebras"" ""Â4. Cyclic algebras""""Â5. Algebras and group extensions""; ""Â6. Powers of central simple algebras""; ""Â7. Generators of the Brauer group""; ""Â8. Structure of the relative Weil group""; ""Â9. Shafarevitch's Theorem""; ""Appendix: I. The Brauer group of central 'simple algebras over K""; ""II. The group H2(G,Kxs)""; ""Chapter IX. The Herbrand Distribution""; ""Â1. The Herbrand distribution: definition and basic facts""; ""Â2. The support of the Herbrand distribution""; ""Â3. Determination of the Herbrand distribution on Gal(Kab/K)"" ""Â4. Functoriality properties of the Herbrand distribution""""Â5. The Herbrand distribution and measures on the Weil group""; ""Â6. The integral formula for the Herbrand distribution""; ""Â7. Conductors, the Artin representation, and the Herbrand distribution""; ""Bibliography""; ""Index""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""w"" |
| Record Nr. | UNINA-9910480452603321 |
Moreno Carlos J.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
| Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno |
| Autore | Moreno Carlos J. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 512/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Algebraic fields |
| ISBN | 0-8218-7601-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 0. Introduction""; ""Â1. A historical perspective""; ""Â2. The explicit formulas: motivation""; ""Chapter I. Galois Theory for Infinite Extensions""; ""Â1. Fundamental Theorem of Galois Theory for infinite extensions""; ""Â2. Topological properties of Gal(K'/K)""; ""Â3. Example""; ""Chapter II. Projective Limits""; ""Â1. Basic definitions""; ""Â2. Examples""; ""Â3. Homomorphisms""; ""Chapter III. Elementary Theory of l-adic Integration""; ""Â1. Distributions and measures""; ""Â2. Measures on groups""; ""Â3. Riemann sums""
""Â4. l-adic Haar measures""""Â5. Examples""; ""Chapter IV. Ramification Theory""; ""Â1. The v-function""; ""Â2. Transitivity properties of the v-function""; ""Â3. The different""; ""Â4. Transitivity properties of the different""; ""Â5. Complementary basis""; ""Â6. Fundamental inequality and the C-invariant""; ""Â7. Quotients of Galois groups and Herbrand's Theorem""; ""Chapter V. Multiplicative versus Additive Reduction""; ""Â1. The case of a local field""; ""Â2. The module structure of the unit group""; ""Â3. The case of an elliptic curve"" ""Chapter VI. Ramification of Abelian Extensions""""Â1. Index computations""; ""Â2. Main Theorem""; ""Chapter VII. The Weil Groups of a Local Field""; ""Â1. The Frobenius automorphism""; ""Â2. The relative Weil group of a non-archimedean local field""; ""Â3. The absolute Weil group""; ""Â4. The Weil group of an archimedean local field""; ""Â5. The Weil-Deligne group""; ""Appendix: The non-abelian local reciprocity law""; ""Chapter VIII. Shafarevitch's Theorem""; ""Â1. Representations of a simple algebra""; ""Â2. Factor sets""; ""Â3. Subalgebras of central simple algebras"" ""Â4. Cyclic algebras""""Â5. Algebras and group extensions""; ""Â6. Powers of central simple algebras""; ""Â7. Generators of the Brauer group""; ""Â8. Structure of the relative Weil group""; ""Â9. Shafarevitch's Theorem""; ""Appendix: I. The Brauer group of central 'simple algebras over K""; ""II. The group H2(G,Kxs)""; ""Chapter IX. The Herbrand Distribution""; ""Â1. The Herbrand distribution: definition and basic facts""; ""Â2. The support of the Herbrand distribution""; ""Â3. Determination of the Herbrand distribution on Gal(Kab/K)"" ""Â4. Functoriality properties of the Herbrand distribution""""Â5. The Herbrand distribution and measures on the Weil group""; ""Â6. The integral formula for the Herbrand distribution""; ""Â7. Conductors, the Artin representation, and the Herbrand distribution""; ""Bibliography""; ""Index""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""w"" |
| Record Nr. | UNINA-9910788780103321 |
|
Moreno Carlos J.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno
| Advanced analytic number theory . Part 1 Ramification theoretic methods / / Carlos J. Moreno |
| Autore | Moreno Carlos J. |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1983] |
| Descrizione fisica | 1 online resource (202 p.) |
| Disciplina | 512/.7 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Number theory
Algebraic fields |
| ISBN | 0-8218-7601-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 0. Introduction""; ""Â1. A historical perspective""; ""Â2. The explicit formulas: motivation""; ""Chapter I. Galois Theory for Infinite Extensions""; ""Â1. Fundamental Theorem of Galois Theory for infinite extensions""; ""Â2. Topological properties of Gal(K'/K)""; ""Â3. Example""; ""Chapter II. Projective Limits""; ""Â1. Basic definitions""; ""Â2. Examples""; ""Â3. Homomorphisms""; ""Chapter III. Elementary Theory of l-adic Integration""; ""Â1. Distributions and measures""; ""Â2. Measures on groups""; ""Â3. Riemann sums""
""Â4. l-adic Haar measures""""Â5. Examples""; ""Chapter IV. Ramification Theory""; ""Â1. The v-function""; ""Â2. Transitivity properties of the v-function""; ""Â3. The different""; ""Â4. Transitivity properties of the different""; ""Â5. Complementary basis""; ""Â6. Fundamental inequality and the C-invariant""; ""Â7. Quotients of Galois groups and Herbrand's Theorem""; ""Chapter V. Multiplicative versus Additive Reduction""; ""Â1. The case of a local field""; ""Â2. The module structure of the unit group""; ""Â3. The case of an elliptic curve"" ""Chapter VI. Ramification of Abelian Extensions""""Â1. Index computations""; ""Â2. Main Theorem""; ""Chapter VII. The Weil Groups of a Local Field""; ""Â1. The Frobenius automorphism""; ""Â2. The relative Weil group of a non-archimedean local field""; ""Â3. The absolute Weil group""; ""Â4. The Weil group of an archimedean local field""; ""Â5. The Weil-Deligne group""; ""Appendix: The non-abelian local reciprocity law""; ""Chapter VIII. Shafarevitch's Theorem""; ""Â1. Representations of a simple algebra""; ""Â2. Factor sets""; ""Â3. Subalgebras of central simple algebras"" ""Â4. Cyclic algebras""""Â5. Algebras and group extensions""; ""Â6. Powers of central simple algebras""; ""Â7. Generators of the Brauer group""; ""Â8. Structure of the relative Weil group""; ""Â9. Shafarevitch's Theorem""; ""Appendix: I. The Brauer group of central 'simple algebras over K""; ""II. The group H2(G,Kxs)""; ""Chapter IX. The Herbrand Distribution""; ""Â1. The Herbrand distribution: definition and basic facts""; ""Â2. The support of the Herbrand distribution""; ""Â3. Determination of the Herbrand distribution on Gal(Kab/K)"" ""Â4. Functoriality properties of the Herbrand distribution""""Â5. The Herbrand distribution and measures on the Weil group""; ""Â6. The integral formula for the Herbrand distribution""; ""Â7. Conductors, the Artin representation, and the Herbrand distribution""; ""Bibliography""; ""Index""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""w"" |
| Record Nr. | UNINA-9910811765303321 |
|
Moreno Carlos J.
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advances in analytic number theory : ramification theoretic methods / Carlos J. Moreno
| Advances in analytic number theory : ramification theoretic methods / Carlos J. Moreno |
| Autore | Moreno, Carlos J. |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society, 1983 |
| Descrizione fisica | pt. ; 26 cm |
| Disciplina | 512.7 |
| Collana | Contemporary mathematics, 0271-4132 ; 15 |
| Soggetto topico |
Algebraic fields
Theory of numbers |
| ISBN | 0821850156 |
| Classificazione |
AMS 11F
AMS 11F12 AMS 11N99 QA241.M64 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000647129707536 |
|
Moreno, Carlos J.
|
||
| Providence, R. I. : American Mathematical Society, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Advances in hypercomplex analysis / / Graziano Gentili ... [et al.], editors
| Advances in hypercomplex analysis / / Graziano Gentili ... [et al.], editors |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Milan ; ; New York, : Springer, c2013 |
| Descrizione fisica | 1 online resource (148 p.) |
| Disciplina | 515.9 |
| Altri autori (Persone) | GentiliGraziano |
| Collana | Springer INdAM series |
| Soggetto topico |
Quaternions
Algebraic fields |
| ISBN |
1-283-90981-2
88-470-2445-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | C. Bisi, C. Stoppato: Regular vs. classical Mobius transformations of the quaternionic unit ball -- F. Brackx, H. De Bie, Hennie De Schepper: Distributional Boundary Values of Harmonic Potentials in Euclidean Half-space as Fundamental Solutions of Convolution Operators in Clifford Analysis -- F. Colombo, J.O. Gonzalez-Cervantes, M.E. Luna-Elizarraras, I. Sabadini, M. Shapiro: On two approaches to the Bergman theory for slice regular functions -- C. Della Rocchetta, G. Gentili, G. Sarfatti: A Bloch- Landau Theorem for slice regular functions -- M. Ku, U. Kahler, P. Cerejeiras: Dirichlet-type problems for the iterated Dirac operator on the unit ball in Clifford analysis -- A. Perotti: Fueter regularity and slice regularity: meeting points for two function theories -- D.C. Struppa: A note on analytic functionals on the complex light cone -- M.B. Vajiac: The S-spectrum for some classes of matrices -- F. Vlacci: Regular Composition for SliceRegular Functions of Quaternionic Variable. |
| Record Nr. | UNINA-9910438151703321 |
| Milan ; ; New York, : Springer, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebra : From the Viewpoint of Galois Theory / / by Siegfried Bosch
| Algebra : From the Viewpoint of Galois Theory / / by Siegfried Bosch |
| Autore | Bosch Siegfried |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (XV, 352 p. 13 illus.) |
| Disciplina | 512.32 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Algebraic fields
Polynomials Algebraic geometry Field Theory and Polynomials Algebraic Geometry |
| ISBN | 3-319-95177-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Elementary Group Theory -- Rings and Polynomials -- Algebraic Field Extensions -- Galois Theory -- More on Group Theory -- Applications of Galois Theory -- Transcendental Field Extensions. |
| Record Nr. | UNINA-9910300106403321 |
|
Bosch Siegfried
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Algebraic curves over finite fields / Carlos Moreno
| Algebraic curves over finite fields / Carlos Moreno |
| Autore | Moreno, Carlos J. |
| Pubbl/distr/stampa | Cambridge [England] ; New York : Cambridge University Press, 1991 |
| Descrizione fisica | ix, 246 p. : ill. ; 24 cm. |
| Disciplina | 516.352 |
| Collana | Cambridge tracts in mathematics ; 97 |
| Soggetto topico |
Algebraic curves
Algebraic fields Zeta functions |
| ISBN | 052145901X |
| Classificazione |
AMS 14B
AMS 51E AMS 94B QA565 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000657509707536 |
|
Moreno, Carlos J.
|
||
| Cambridge [England] ; New York : Cambridge University Press, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algebraic curves, arcs, and caps over finite fields / J. W. P. Hirschfeld
| Algebraic curves, arcs, and caps over finite fields / J. W. P. Hirschfeld |
| Autore | Hirschfeld, James William Peter |
| Pubbl/distr/stampa | Lecce : Università di Lecce, 1986 |
| Descrizione fisica | p. ; cm. |
| Collana | Quaderni del Dipartimento di matematica dell'Università di Lecce ; 5/1986 |
| Soggetto topico |
Algebraic curves
Algebraic fields Miscellaneous topics |
| Classificazione | AMS 11-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000657439707536 |
|
Hirschfeld, James William Peter
|
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| Lecce : Università di Lecce, 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algebraic function fields and codes / Henning Stichtenoth
| Algebraic function fields and codes / Henning Stichtenoth |
| Autore | Stichtenoth, Henning |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, c1993 |
| Descrizione fisica | x, 260 p. ; 24 cm |
| Disciplina | 512.74 |
| Collana | Universitext |
| Soggetto topico |
Algebraic fields
Algebraic functions |
| ISBN | 3540564896 |
| Classificazione |
AMS 11R58
AMS 11S AMS 11T55 AMS 11T71 AMS 12F AMS 94A60 AMS 94B LC QA341.S75 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000657909707536 |
|
Stichtenoth, Henning
|
||
| Berlin : Springer-Verlag, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Algebraic function fields and codes / Henning Stichtenoth
| Algebraic function fields and codes / Henning Stichtenoth |
| Autore | Stichtenoth, Henning |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Berlin : Springer, c2009 |
| Descrizione fisica | xiii, 355 p. : ill. ; 25 cm |
| Disciplina | 512.74 |
| Collana | Graduate texts in mathematics ; 254 |
| Soggetto topico |
Algebraic functions
Algebraic fields |
| ISBN |
9783540768777
9783540768784 |
| Classificazione |
AMS 11R58
AMS 11S AMS 11T55 AMS 11T71 AMS 12F AMS 94A60 AMS 94B LC QA341.S75 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000112339707536 |
|
Stichtenoth, Henning
|
||
| Berlin : Springer, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Soggetto topico
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Algebraic fields
(102)
- Polynomials (22)
- Field Theory and Polynomials (13)
- Arithmetic functions (7)
- Drinfeld modules (7)