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An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
An Introduction to G-Functions. (AM-133), Volume 133 / / Bernard Dwork, Francis J. Sullivan, Giovanni Gerotto
Autore Dwork Bernard
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (349 pages) : illustrations
Disciplina 515/.55
Collana Annals of Mathematics Studies
Soggetto topico H-functions
p-adic analysis
Soggetto non controllato Adjoint
Algebraic Method
Algebraic closure
Algebraic number field
Algebraic number theory
Algebraic variety
Algebraically closed field
Analytic continuation
Analytic function
Argument principle
Arithmetic
Automorphism
Bearing (navigation)
Binomial series
Calculation
Cardinality
Cartesian coordinate system
Cauchy sequence
Cauchy's theorem (geometry)
Coefficient
Cohomology
Commutative ring
Complete intersection
Complex analysis
Conjecture
Density theorem
Differential equation
Dimension (vector space)
Direct sum
Discrete valuation
Eigenvalues and eigenvectors
Elliptic curve
Equation
Equivalence class
Estimation
Existential quantification
Exponential function
Exterior algebra
Field of fractions
Finite field
Formal power series
Fuchs' theorem
G-module
Galois extension
Galois group
General linear group
Generic point
Geometry
Hypergeometric function
Identity matrix
Inequality (mathematics)
Intercept method
Irreducible element
Irreducible polynomial
Laurent series
Limit of a sequence
Linear differential equation
Lowest common denominator
Mathematical induction
Meromorphic function
Modular arithmetic
Module (mathematics)
Monodromy
Monotonic function
Multiplicative group
Natural number
Newton polygon
Number theory
P-adic number
Parameter
Permutation
Polygon
Polynomial
Projective line
Q.E.D.
Quadratic residue
Radius of convergence
Rational function
Rational number
Residue field
Riemann hypothesis
Ring of integers
Root of unity
Separable polynomial
Sequence
Siegel's lemma
Special case
Square root
Subring
Subset
Summation
Theorem
Topology of uniform convergence
Transpose
Triangle inequality
Unipotent
Valuation ring
Weil conjecture
Wronskian
Y-intercept
ISBN 1-4008-8254-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE / Dwork, B. -- INTRODUCTION -- LIST OF SYMBOLS -- CHAPTER I. VALUED FIELDS -- CHAPTER II. ZETA FUNCTIONS -- CHAPTER III. DIFFERENTIAL EQUATIONS -- CHAPTER IV. EFFECTIVE BOUNDS. ORDINARY DISKS -- CHAPTER V. EFFECTIVE BOUNDS. SINGULAR DISKS -- CHAPTER VI. TRANSFER THEOREMS INTO DISKS WITH ONE SINGULARITY -- CHAPTER VII. DIFFERENTIAL EQUATIONS OF ARITHMETIC TYPE -- CHAPTER VIII. G-SERIES. THE THEOREM OF CHUDNOVSKY -- APPENDIX I. CONVERGENCE POLYGON FOR DIFFERENTIAL EQUATIONS -- APPENDIX II. ARCHIMEDEAN ESTIMATES -- APPENDIX III. CAUCHY'S THEOREM -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154744303321
Dwork Bernard  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120), Volume 120 / / Laurent Clozel, James Arthur
Autore Arthur James
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (248 pages) : illustrations
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Representations of groups
Trace formulas
Automorphic forms
Soggetto non controllato 0E
Addition
Admissible representation
Algebraic group
Algebraic number field
Approximation
Archimedean property
Automorphic form
Automorphism
Base change
Big O notation
Binomial coefficient
Canonical map
Cartan subalgebra
Cartan subgroup
Central simple algebra
Characteristic polynomial
Closure (mathematics)
Combination
Computation
Conjecture
Conjugacy class
Connected component (graph theory)
Continuous function
Contradiction
Corollary
Counting
Coxeter element
Cusp form
Cyclic permutation
Dense set
Density theorem
Determinant
Diagram (category theory)
Discrete series representation
Discrete spectrum
Division algebra
Eigenvalues and eigenvectors
Eisenstein series
Exact sequence
Existential quantification
Field extension
Finite group
Finite set
Fourier transform
Functor
Fundamental lemma (Langlands program)
Galois extension
Galois group
Global field
Grothendieck group
Group representation
Haar measure
Harmonic analysis
Hecke algebra
Hilbert's Theorem 90
Identity component
Induced representation
Infinite product
Infinitesimal character
Invariant measure
Irreducibility (mathematics)
Irreducible representation
L-function
Langlands classification
Laurent series
Lie algebra
Lie group
Linear algebraic group
Local field
Mathematical induction
Maximal compact subgroup
Multiplicative group
Nilpotent group
Orbital integral
P-adic number
Paley–Wiener theorem
Parameter
Parametrization
Permutation
Poisson summation formula
Real number
Reciprocal lattice
Reductive group
Root of unity
Scientific notation
Semidirect product
Special case
Spherical harmonics
Subgroup
Subset
Summation
Support (mathematics)
Tensor product
Theorem
Trace formula
Unitary representation
Weil group
Weyl group
Zero of a function
ISBN 1-4008-8240-0
Classificazione SK 240
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Local Results -- Chapter 2. The Global Comparison -- Chapter 3. Base Change -- Bibliography
Record Nr. UNINA-9910154743703321
Arthur James  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui