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Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
| Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz |
| Autore | Katz Nicholas M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (445 pages) : illustrations |
| Disciplina | 512/.73 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Exponential sums
Differential equations |
| Soggetto non controllato |
Adjoint representation
Algebraic geometry Algebraic integer Algebraically closed field Automorphism Base change Bernard Dwork Big O notation Bijection Calculation Characteristic polynomial Codimension Coefficient Cohomology Comparison theorem Complex manifold Conjugacy class Connected component (graph theory) Convolution Determinant Diagram (category theory) Differential Galois theory Differential equation Dimension (vector space) Dimension Direct sum Divisor Eigenvalues and eigenvectors Endomorphism Equation Euler characteristic Existential quantification Exponential sum Fiber bundle Field of fractions Finite field Formal power series Fourier transform Fundamental group Fundamental representation Galois extension Galois group Gauss sum Generic point Group theory Homomorphism Hypergeometric function Identity component Identity element Integer Irreducibility (mathematics) Irreducible representation Isogeny Isomorphism class L-function Laurent polynomial Lie algebra Logarithm Mathematical induction Matrix coefficient Maximal compact subgroup Maximal torus Mellin transform Monic polynomial Monodromy theorem Monodromy Monomial Natural number Normal subgroup P-adic number Permutation Polynomial Prime number Pullback Quotient group Reductive group Regular singular point Representation theory Ring homomorphism Root of unity Scientific notation Set (mathematics) Sheaf (mathematics) Special case Subcategory Subgroup Subring Subset Summation Surjective function Symmetric group Tensor product Theorem Theory Three-dimensional space (mathematics) Torsor (algebraic geometry) Trichotomy (mathematics) Unitarian trick Unitary group Variable (mathematics) |
| ISBN | 1-4008-8243-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References |
| Record Nr. | UNINA-9910154744703321 |
Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth
| Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56 / / Lee Paul Neuwirth |
| Autore | Neuwirth Lee Paul |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (120 pages) : illustrations |
| Disciplina | 513.8 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
Abelian group
Alexander duality Alexander polynomial Algebraic theory Algorithm Analytic continuation Associative property Automorphism Axiom Bijection Binary relation Calculation Central series Characterization (mathematics) Cobordism Coefficient Cohomology Combinatorics Commutator subgroup Complete theory Computation Conjugacy class Conjugate element (field theory) Connected space Connectedness Coprime integers Coset Covering space Curve Cyclic group Dehn's lemma Determinant Diagonalization Diagram (category theory) Dimension Direct product Equivalence class Equivalence relation Euclidean space Euler characteristic Existential quantification Fiber bundle Finite group Finitely generated module Frattini subgroup Free abelian group Fundamental group Geometry Group ring Group theory Group with operators Hausdorff space Homeomorphism Homology (mathematics) Homomorphism Homotopy group Homotopy Identity matrix Inner automorphism Interior (topology) Intersection number (graph theory) Knot group Knot theory Linear combination Manifold Mathematical induction Monomorphism Morphism Morse theory Natural transformation Non-abelian group Normal subgroup Orientability Permutation Polynomial Presentation of a group Principal ideal domain Principal ideal Root of unity Semigroup Simplicial complex Simply connected space Special case Square matrix Subgroup Subset Summation Theorem Three-dimensional space (mathematics) Topological space Topology Torus knot Transfinite number Trefoil knot Trichotomy (mathematics) Trivial group Triviality (mathematics) Two-dimensional space Unit vector Wreath product |
| ISBN | 1-4008-8203-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. INTRODUCTION -- CHAPTER II. NOTATION AND CONVENTIONS -- CHAPTER III. COMBINATORIAL COVERING SPACE THEORY FOR 3-MANIFOLDS -- CHAPTER IV. THE COMMUTATOR SUBGROUP AND THE ALEXANDER MATRIX -- CHAPTER V. SUBGROUPS -- CHAPTER VI. REPRESENTATIONS -- CHAPTER VII. AUTOMORPHISMS -- CHAPTER VIII. A GROUP OF GROUPS -- CHAPTER IX. THE CHARACTERIZATION PROBLEM -- CHAPTER X. THE STRENGTH OP THE GROUP -- CHAPTER XI. PROBLEMS -- APPENDIX BY S. Eileriberg -- REFERENCES -- INDEX |
| Record Nr. | UNINA-9910154747703321 |
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Neuwirth Lee Paul
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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