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The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen
| The arithmetic of function fields [[electronic resource] ] : proceedings of the workshop at the Ohio State University, June 17-26, 1991 / / editors, David Goss, David R. Hayes, Michael I. Rosen |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : W. de Gruyter, 1992 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 512/.74 |
| Altri autori (Persone) |
GossDavid <1952->
HayesDavid (David R.) RosenMichael I <1938-> (Michael Ira) |
| Collana | Ohio State University Mathematical Research Institute Publications |
| Soggetto topico |
Algebraic fields
Drinfeld modules |
| ISBN | 3-11-088615-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- A Brief Introduction to Drinfeld Modules / Hayes, David R. -- Galois Calculus and Carlitz Exponentials / Hellegouarch, Y. -- A Two-Dimensional Analogue of Stickelberger's Theorem / Anderson, G. W. -- On Gamma Functions for Function Fields / Thakur, D. S. -- Groups of Elliptic Units in Global Function Fields / Oukhaba, H. -- Class Number "Parity" for Cyclic Function Fields / Feng, Keqin -- Genus Two Hyperelliptic Drinfeld Modules over F2 / Dummit, D. S. -- A Short Introduction to Rigid Analytic Spaces / Goss, David -- Lecture on Rigid Geometry / Reversat, Marc -- Moduli for Drinfeld Modules / Gekeler, E. - U. -- Ramifications Arising from Drinfeld Modules / Taguchi, Yuichiro -- Rigid Analytic Modular Forms: An Integral Transform Approach / Teitelbaum, Jeremy -- Some Results on the Jacobians of Drinfeld Modular Curves / Gekeler, E.-U. / Reversat, M. -- Some Integrals Attached to Modular Forms in the Theory of Function Fields / Goss, David -- Transcendence in Finite Characteristic / Yu, Jing -- Indépendance Algébrique des Périodes et Quasi-périodes d'un Module de Drinfeld / Thiery, Alain -- Géométrie Diophantienne sur les Modules de Drinfeld / Denis, L. -- Transcendence Properties of Carlitz Zeta-values / Damamme, G. -- L-series of t-motives and Drinfeld Modules / Goss, David -- Classgroups of Sheaves of Locally Free Modules over Global Function Fields / Chapman, R. J. -- Artin-Schreier-Witt Extensions as Limits of Kummer-Lubin-Tate Extensions, and the Explicit Reciprocity Law / de Shalit, E. -- The Circle Method and the Strict Waring Problem in Function Fields / Car, M. -- Ramsey's Theorem and Waring's Problem for Algebras over Fields / Vaserstein, L. N. -- Sums of Three Cubes / Payne, G. / Vaserstein, L. -- Heights and Zeta Functions in Function Fields / Wan, Daqing -- Continued Fraction Characterization and Generic Ideals in Real Quadratic Function Fields / Friesen, C. -- Dictionary / Goss, David -- Backmatter |
| Record Nr. | UNINA-9910785819003321 |
| Berlin ; ; New York, : W. de Gruyter, 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Combinatorial number theory revisited [[electronic resource] ] : proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24-27, 2007 / / editors, B. Landman ... [et al.]
| Combinatorial number theory revisited [[electronic resource] ] : proceedings of the 'Integers Conference 2007', Carrollton, Georgia, USA, October 24-27, 2007 / / editors, B. Landman ... [et al.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2009 |
| Descrizione fisica | 1 online resource (207 p.) |
| Disciplina | 512.78 |
| Altri autori (Persone) | LandmanBruce M. <1951-> |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Combinatorial number theory
Number theory |
| Soggetto non controllato |
Additive Number Theory
Combinatorial Game Theory Hypergraphs Multiplicative Number Theory Probabilistic Number Theory Ramsey Theory |
| ISBN |
1-282-10251-6
9786612102516 3-11-020850-4 |
| Classificazione |
510
SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Table of contents -- The Finite Heine Transformation -- Finding Almost Squares III -- Sums and Differences of the Coordinates of Points on Modular Hyperbolas -- Self Generating Sets and Numeration Systems -- Small Sets Satisfying the Central Sets Theorem -- Column-to-Row Operations on Partitions: The Envelopes -- On the Euler Product of Some Zeta Functions -- On the Range of the Iterated Euler Function -- Frobenius Numbers of Generalized Fibonacci Semigroups -- Combinatorics of Ramanujan-Slater Type Identities -- A Mock Theta Function for the Delta-function -- On the Density of Integral Sets with Missing Differences -- On Pseudosquares and Pseudopowers -- Maier Matrices Beyond Z -- Linear Equations Involving Iterates of σ (N) -- Heron Sequences and Their Modifications -- Backmatter |
| Record Nr. | UNINA-9910782830203321 |
| Berlin ; ; New York, : Walter de Gruyter, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Distribution theory of algebraic numbers [[electronic resource] /] / by Pei-Chu Hu and Chung-Chun Yang
| Distribution theory of algebraic numbers [[electronic resource] /] / by Pei-Chu Hu and Chung-Chun Yang |
| Autore | Hu Pei-Chu |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2008 |
| Descrizione fisica | 1 online resource (540 p.) |
| Disciplina | 512.73 |
| Altri autori (Persone) | YangChung-Chun <1942-> |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico |
Diophantine approximation
Nevanlinna theory |
| Soggetto non controllato |
Algebraic Geometry
Algebraic Numbers Elliptic Curves |
| ISBN |
1-281-99349-2
9786611993498 3-11-020826-1 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Field extensions -- Chapter 2. Algebraic numbers -- Chapter 3. Algebraic geometry -- Chapter 4. Height functions -- Chapter 5. The abc-conjecture -- Chapter 6. Roth's theorem -- Chapter 7. Subspace theorems -- Chapter 8. Vojta's conjectures -- Chapter 9. L-functions -- Backmatter |
| Record Nr. | UNINA-9910782770803321 |
Hu Pei-Chu
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| Berlin ; ; New York, : Walter de Gruyter, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Elliptic tales [[electronic resource] ] : curves, counting, and number theory / / Avner Ash, Robert Gross
| Elliptic tales [[electronic resource] ] : curves, counting, and number theory / / Avner Ash, Robert Gross |
| Autore | Ash Avner <1949-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 515/.983 |
| Altri autori (Persone) | GrossRobert <1959-> |
| Soggetto topico |
Elliptic functions
Curves, Elliptic Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-43975-1
9786613439758 1-4008-4171-2 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Degree -- pt. 2. Elliptic curves and algebra -- pt. 3. Elliptic curves and analysis. |
| Record Nr. | UNINA-9910457830903321 |
|
Ash Avner <1949->
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| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Elliptic tales [[electronic resource] ] : curves, counting, and number theory / / Avner Ash, Robert Gross
| Elliptic tales [[electronic resource] ] : curves, counting, and number theory / / Avner Ash, Robert Gross |
| Autore | Ash Avner <1949-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 515/.983 |
| Altri autori (Persone) | GrossRobert <1959-> |
| Soggetto topico |
Elliptic functions
Curves, Elliptic Number theory |
| ISBN |
1-283-43975-1
9786613439758 1-4008-4171-2 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | pt. 1. Degree -- pt. 2. Elliptic curves and algebra -- pt. 3. Elliptic curves and analysis. |
| Record Nr. | UNINA-9910778958503321 |
|
Ash Avner <1949->
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| Princeton, : Princeton University Press, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash
| Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash |
| Autore | Ash Avner |
| Edizione | [New edition with a New preface by the authors] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2008] |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 512.7 |
| Soggetto topico | Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-96489-5
9786612964893 1-4008-3777-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Preface To The Paperback Edition -- Preface -- Acknowledgments -- Greek Alphabet -- Part One. Algebraic Preliminaries -- Chapter 1. Representations -- Chapter 2. Groups -- Chapter 3. Permutations -- Chapter 4. Modular Arithmetic -- Chapter 5. Complex Numbers -- Chapter 6. Equations and Varieties -- Chapter 7. Quadratic Reciprocity -- Part Two. Galois Theory and Representations -- Chapter 8. Galois Theory -- Chapter 9. Elliptic Curves -- Chapter 10. Matrices -- Chapter 11. Groups of Matrices -- Chapter 12. Group Representations -- Chapter 13. The Galois Group Of A Polynomial -- Chapter 14. The Restriction Morphism -- Chapter 15. The Greeks Had a Name for it -- Chapter 16. Frobenius -- Part Three. Reciprocity Laws -- Chapter 17. Reciprocity Laws -- Chapter 18. One- And Two-Dimensional Representations -- Chapter 19. Quadratic Reciprocity Revisited -- Chapter 20. A Machine for Making Galois Representations -- Chapter 21. A Last Look at Reciprocity -- Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- Chapter 23. Retrospect -- Bibliography -- Index |
| Record Nr. | UNINA-9910457972603321 |
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Ash Avner
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| Princeton, NJ : , : Princeton University Press, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash
| Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash |
| Autore | Ash Avner |
| Edizione | [New edition with a New preface by the authors] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2008] |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 512.7 |
| Soggetto topico | Number theory |
| ISBN |
1-282-96489-5
9786612964893 1-4008-3777-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Preface To The Paperback Edition -- Preface -- Acknowledgments -- Greek Alphabet -- Part One. Algebraic Preliminaries -- Chapter 1. Representations -- Chapter 2. Groups -- Chapter 3. Permutations -- Chapter 4. Modular Arithmetic -- Chapter 5. Complex Numbers -- Chapter 6. Equations and Varieties -- Chapter 7. Quadratic Reciprocity -- Part Two. Galois Theory and Representations -- Chapter 8. Galois Theory -- Chapter 9. Elliptic Curves -- Chapter 10. Matrices -- Chapter 11. Groups of Matrices -- Chapter 12. Group Representations -- Chapter 13. The Galois Group Of A Polynomial -- Chapter 14. The Restriction Morphism -- Chapter 15. The Greeks Had a Name for it -- Chapter 16. Frobenius -- Part Three. Reciprocity Laws -- Chapter 17. Reciprocity Laws -- Chapter 18. One- And Two-Dimensional Representations -- Chapter 19. Quadratic Reciprocity Revisited -- Chapter 20. A Machine for Making Galois Representations -- Chapter 21. A Last Look at Reciprocity -- Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- Chapter 23. Retrospect -- Bibliography -- Index |
| Record Nr. | UNINA-9910791450503321 |
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Ash Avner
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| Princeton, NJ : , : Princeton University Press, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A guide to elementary number theory / / Underwood Dudley [[electronic resource]]
| A guide to elementary number theory / / Underwood Dudley [[electronic resource]] |
| Autore | Dudley Underwood |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2009 |
| Descrizione fisica | 1 online resource (x, 141 pages) : digital, PDF file(s) |
| Disciplina | 512.7/2 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico | Number theory |
| ISBN | 0-88385-918-1 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems. |
| Record Nr. | UNINA-9910791745703321 |
|
Dudley Underwood
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| Washington : , : Mathematical Association of America, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A guide to elementary number theory / / Underwood Dudley [[electronic resource]]
| A guide to elementary number theory / / Underwood Dudley [[electronic resource]] |
| Autore | Dudley Underwood |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2009 |
| Descrizione fisica | 1 online resource (x, 141 pages) : digital, PDF file(s) |
| Disciplina | 512.7/2 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico | Number theory |
| ISBN | 0-88385-918-1 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems. |
| Record Nr. | UNINA-9910809577103321 |
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Dudley Underwood
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| Washington : , : Mathematical Association of America, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning
| Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
| Autore | Gunning Robert C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (108 pages) : illustrations |
| Disciplina | 512.87 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Forms, Modular
Modular functions |
| Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
| ISBN | 1-4008-8166-8 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
| Record Nr. | UNINA-9910154753603321 |
|
Gunning Robert C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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