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Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
Autore Hirschfeld J. W. P (James William Peter), <1940->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2008
Descrizione fisica 1 online resource (717 p.)
Disciplina 516.352
Collana Princeton Series in Applied Mathematics
Soggetto topico Curves, Algebraic
Finite fields (Algebra)
Soggetto non controllato Abelian group
Abelian variety
Affine plane
Affine space
Affine variety
Algebraic closure
Algebraic curve
Algebraic equation
Algebraic extension
Algebraic function
Algebraic geometry
Algebraic integer
Algebraic number field
Algebraic number theory
Algebraic number
Algebraic variety
Algebraically closed field
Applied mathematics
Automorphism
Birational invariant
Characteristic exponent
Classification theorem
Clifford's theorem
Combinatorics
Complex number
Computation
Cyclic group
Cyclotomic polynomial
Degeneracy (mathematics)
Degenerate conic
Divisor (algebraic geometry)
Divisor
Dual curve
Dual space
Elliptic curve
Equation
Fermat curve
Finite field
Finite geometry
Finite group
Formal power series
Function (mathematics)
Function field
Fundamental theorem
Galois extension
Galois theory
Gauss map
General position
Generic point
Geometry
Homogeneous polynomial
Hurwitz's theorem
Hyperelliptic curve
Hyperplane
Identity matrix
Inequality (mathematics)
Intersection number (graph theory)
Intersection number
J-invariant
Line at infinity
Linear algebra
Linear map
Mathematical induction
Mathematics
Menelaus' theorem
Modular curve
Natural number
Number theory
Parity (mathematics)
Permutation group
Plane curve
Point at infinity
Polar curve
Polygon
Polynomial
Power series
Prime number
Projective plane
Projective space
Quadratic transformation
Quadric
Resolution of singularities
Riemann hypothesis
Scalar multiplication
Scientific notation
Separable extension
Separable polynomial
Sign (mathematics)
Singular point of a curve
Special case
Subgroup
Sylow theorems
System of linear equations
Tangent
Theorem
Transcendence degree
Upper and lower bounds
Valuation ring
Variable (mathematics)
Vector space
ISBN 1-4008-4741-9
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index
Record Nr. UNINA-9910786795203321
Hirschfeld J. W. P (James William Peter), <1940->  
Princeton, New Jersey : , : Princeton University Press, , 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
Algebraic curves over a finite field / / J. W. P. Hirschfeld, G. Korchmaros, F. Torres
Autore Hirschfeld J. W. P (James William Peter), <1940->
Edizione [Course Book]
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 2008
Descrizione fisica 1 online resource (717 p.)
Disciplina 516.352
Collana Princeton Series in Applied Mathematics
Soggetto topico Curves, Algebraic
Finite fields (Algebra)
Soggetto non controllato Abelian group
Abelian variety
Affine plane
Affine space
Affine variety
Algebraic closure
Algebraic curve
Algebraic equation
Algebraic extension
Algebraic function
Algebraic geometry
Algebraic integer
Algebraic number field
Algebraic number theory
Algebraic number
Algebraic variety
Algebraically closed field
Applied mathematics
Automorphism
Birational invariant
Characteristic exponent
Classification theorem
Clifford's theorem
Combinatorics
Complex number
Computation
Cyclic group
Cyclotomic polynomial
Degeneracy (mathematics)
Degenerate conic
Divisor (algebraic geometry)
Divisor
Dual curve
Dual space
Elliptic curve
Equation
Fermat curve
Finite field
Finite geometry
Finite group
Formal power series
Function (mathematics)
Function field
Fundamental theorem
Galois extension
Galois theory
Gauss map
General position
Generic point
Geometry
Homogeneous polynomial
Hurwitz's theorem
Hyperelliptic curve
Hyperplane
Identity matrix
Inequality (mathematics)
Intersection number (graph theory)
Intersection number
J-invariant
Line at infinity
Linear algebra
Linear map
Mathematical induction
Mathematics
Menelaus' theorem
Modular curve
Natural number
Number theory
Parity (mathematics)
Permutation group
Plane curve
Point at infinity
Polar curve
Polygon
Polynomial
Power series
Prime number
Projective plane
Projective space
Quadratic transformation
Quadric
Resolution of singularities
Riemann hypothesis
Scalar multiplication
Scientific notation
Separable extension
Separable polynomial
Sign (mathematics)
Singular point of a curve
Special case
Subgroup
Sylow theorems
System of linear equations
Tangent
Theorem
Transcendence degree
Upper and lower bounds
Valuation ring
Variable (mathematics)
Vector space
ISBN 1-4008-4741-9
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- PART 1. General theory of curves -- Chapter One. Fundamental ideas -- Chapter Two. Elimination theory -- Chapter Three. Singular points and intersections -- Chapter Four. Branches and parametrisation -- Chapter Five. The function field of a curve -- Chapter Six. Linear series and the Riemann-Roch Theorem -- Chapter Seven. Algebraic curves in higher-dimensional spaces -- PART 2. Curves over a finite field -- Chapter Eight. Rational points and places over a finite field -- Chapter Nine. Zeta functions and curves with many rational points -- PART 3. Further developments -- Chapter Ten. Maximal and optimal curves -- Chapter Eleven. Automorphisms of an algebraic curve -- Chapter Twelve. Some families of algebraic curves -- Chapter Thirteen. Applications: codes and arcs -- Appendix A. Background on field theory and group theory -- Appendix B. Notation -- Bibliography -- Index
Record Nr. UNINA-9910812510203321
Hirschfeld J. W. P (James William Peter), <1940->  
Princeton, New Jersey : , : Princeton University Press, , 2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
Automorphic Forms on Adele Groups. (AM-83), Volume 83 / / Stephen S. Gelbart
Autore Gelbart Stephen S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (280 pages)
Disciplina 512/.22
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Automorphic forms
Linear algebraic groups
Adeles
Soggetto non controllato Abelian extension
Abelian group
Absolute value
Addition
Additive group
Algebraic group
Algebraic number field
Algebraic number theory
Analytic continuation
Analytic function
Arbitrarily large
Automorphic form
Cartan subgroup
Class field theory
Complex space
Congruence subgroup
Conjugacy class
Coprime integers
Cusp form
Differential equation
Dimension (vector space)
Direct integral
Direct sum
Division algebra
Eigenfunction
Eigenvalues and eigenvectors
Eisenstein series
Euler product
Existential quantification
Exponential function
Factorization
Finite field
Formal power series
Fourier series
Fourier transform
Fuchsian group
Function (mathematics)
Function space
Functional equation
Fundamental unit (number theory)
Galois extension
Global field
Group algebra
Group representation
Haar measure
Harish-Chandra
Hecke L-function
Hilbert space
Homomorphism
Induced representation
Infinite product
Inner automorphism
Integer
Invariant measure
Invariant subspace
Irreducible representation
L-function
Lie algebra
Linear map
Matrix coefficient
Mellin transform
Meromorphic function
Modular form
P-adic number
Poisson summation formula
Prime ideal
Prime number
Principal series representation
Projective representation
Quadratic field
Quadratic form
Quaternion algebra
Quaternion
Real number
Regular representation
Representation theory
Ring (mathematics)
Ring of integers
Scientific notation
Selberg trace formula
Simple algebra
Square-integrable function
Sub"ient
Subgroup
Summation
Theorem
Theory
Theta function
Topological group
Topology
Trace formula
Trivial representation
Uniqueness theorem
Unitary operator
Unitary representation
Universal enveloping algebra
Upper half-plane
Variable (mathematics)
Vector space
Weil group
ISBN 1-4008-8161-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- §1. THE CLASSICAL THEORY -- §2. AUTOMORPHIC FORMS AND THE DECOMPOSITION OF L2(ΓSL(2,ℝ)) -- §3. AUTOMORPHIC FORMS AS FUNCTIONS ON THE ADELE GROUP OF GL(2) -- §4. THE REPRESENTATIONS OF GL(2) OVER LOCAL AND GLOBAL FIELDS -- §5 . CUSP FORMS AND REPRESENTATIONS OF THE ADELE GROUP OF GL(2) -- §6. HECKE THEORY FOR GL(2) -- §7 . THE CONSTRUCTION OF A SPECIAL CLASS OF AUTOMORPHIC FORMS -- § 8 . EISENSTEIN SERIES AND THE CONTINUOUS SPECTRUM -- §9. THE TRACE FORMULA FOR GL(2) -- §10. AUTOMORPHIC FORMS ON A QUATERNION ALGEBRA -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154753203321
Gelbart Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / / Jonathan David Rogawski
Autore Rogawski Jonathan David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (273 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Unitary groups
Trace formulas
Representations of groups
Automorphic forms
Soggetto non controllato Abelian group
Abuse of notation
Addition
Admissible representation
Algebraic closure
Algebraic group
Algebraic number field
Asymptotic expansion
Automorphism
Base change map
Base change
Bijection
Borel subgroup
Cartan subgroup
Class function (algebra)
Coefficient
Combination
Compact group
Complementary series representation
Complex number
Congruence subgroup
Conjugacy class
Continuous function
Corollary
Countable set
Diagram (category theory)
Differential operator
Dimension (vector space)
Dimension
Discrete spectrum
Division algebra
Division by zero
Eigenvalues and eigenvectors
Embedding
Equation
Existential quantification
Finite set
Fourier transform
Fundamental lemma (Langlands program)
G factor (psychometrics)
Galois group
Global field
Haar measure
Hecke algebra
Homomorphism
Hyperbolic set
Index notation
Irreducible representation
Isomorphism class
L-function
Langlands classification
Linear combination
Local field
Mathematical induction
Maximal compact subgroup
Maximal torus
Morphism
Multiplicative group
Neighbourhood (mathematics)
Orbital integral
Oscillator representation
P-adic number
Parity (mathematics)
Principal series representation
Quaternion algebra
Quaternion
Reductive group
Regular element
Remainder
Representation theory
Ring of integers
Scientific notation
Semisimple algebra
Set (mathematics)
Shimura variety
Simple algebra
Smoothness
Special case
Stable distribution
Subgroup
Summation
Support (mathematics)
Tate conjecture
Tensor product
Theorem
Trace formula
Triangular matrix
Unitary group
Variable (mathematics)
Weight function
Weil group
ISBN 1-4008-8244-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Introduction -- Chapter 1. Preliminary definitions and notation -- Chapter 2. The trace formula -- Chapter 3. Stable conjugacy -- Chapter 4. Orbital integrals and endoscopic groups -- Chapter 5. Stabilization -- Chapter 6. Weighted orbital integrals -- Chapter 7. Elliptic singular terms -- Chapter 8. Germ expansions and limit formulas -- Chapter 9. Singularities -- Chapter 10. The stable trace formula -- Chapter 11. The Unitary group in two variables -- Chapter 12. Representation theory -- Chapter 13. Automorphic representations -- Chapter 14. Comparison of inner forms -- Chapter 15. Additional results -- References -- Subject Index -- Notation Index
Record Nr. UNINA-9910154747203321
Rogawski Jonathan David  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lectures on P-Adic L-Functions. (AM-74), Volume 74 / / Kinkichi Iwasawa
Lectures on P-Adic L-Functions. (AM-74), Volume 74 / / Kinkichi Iwasawa
Autore Iwasawa Kinkichi
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (116 pages)
Disciplina 512/.74
Collana Annals of Mathematics Studies
Soggetto topico L-functions
Algebraic number theory
Soggetto non controllato Abelian extension
Absolute value
Algebraic closure
Algebraic number field
Algebraic number theory
Algebraic number
Algebraically closed field
Arithmetic function
Class field theory
Complex number
Conjecture
Cyclotomic field
Dirichlet character
Existential quantification
Finite group
Integer
L-function
Mellin transform
Meromorphic function
Multiplicative group
P-adic L-function
P-adic number
Power series
Prime number
Quadratic field
Rational number
Real number
Root of unity
Scientific notation
Series (mathematics)
Special case
Subgroup
Theorem
Topology
ISBN 1-4008-8170-6
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE / Iwasawa, Kenkichi -- CONTENTS -- §1. DIRICHLET'S L-FUNCTIONS -- §2. GENERALIZED BERNOULLI NUMBERS -- §3. p-ADIC L-FUNCTIONS -- §4. p-ADIC LOGARITHMS AND p-ADIC REGULATORS -- §5. CALCULATION OF Lp (1; χ) -- §6. AN ALTERNATE METHOD -- §7. SOME APPLICATIONS -- APPENDIX -- BIBLIOGRAPHY
Record Nr. UNINA-9910154753503321
Iwasawa Kinkichi  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui