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The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
Autore Friedberg Solomon <1958->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1996
Descrizione fisica 1 online resource (167 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
Trace formulas
Representations of groups
Soggetto genere / forma Electronic books.
ISBN 1-4704-0179-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification""
""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified""
""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References""
Record Nr. UNINA-9910480027603321
Friedberg Solomon <1958->  
Providence, Rhode Island : , : American Mathematical Society, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
Autore Friedberg Solomon <1958->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1996
Descrizione fisica 1 online resource (167 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
Trace formulas
Representations of groups
ISBN 1-4704-0179-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification""
""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified""
""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References""
Record Nr. UNINA-9910788730703321
Friedberg Solomon <1958->  
Providence, Rhode Island : , : American Mathematical Society, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
The fundamental lemma of the Shalika subgroup of GL(4) / / Solomon Friedberg, Hervé Jacquet
Autore Friedberg Solomon <1958->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1996
Descrizione fisica 1 online resource (167 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Automorphic forms
Trace formulas
Representations of groups
ISBN 1-4704-0179-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter I. Introduction and Statement of Results""; ""1. Introduction""; ""2. The Shalika Subgroup H of GL(4): Relevant Double Cosets and Kloosterman Integrals""; ""3. The Symplectic Group GS[sub(p)](4): Relevant Double Cosets and Kloosterman Integrals""; ""4. The Main Theorem""; ""5. Kloosterman Integrals and Gauss Sums""; ""Chapter II. Evaluation of the Integral for the Main H-Relevant Double Cosets""; ""1. Plan of the Computation""; ""2. The Unipotent Integral""; ""3. The Toroidal Integral""; ""4. Two Supplementary Integrals""
""5. Evaluation of the Mellin Transform I: The Ramified Case""""6. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)]Ramified, Ï?[sub(2)] Unramified""; ""7. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)]Unramified, Ï?[sub(2)]Ramified""; ""8. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter III. Evaluation of the Integrals for the Other if-Relevant Double Cosets""; ""1. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), I: Unipotent Integration""; ""2. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 1), II: Toroidal Integration and Simplification""
""3. Evaluation of the Integral M[sub(F)](Ï?[sub(1)132), I: Unipotent Integration""; ""4. Evaluation of the Integral M[sub(F)](Ï?[sub(1); 132), II: Toroidal Integration and Simplification""; ""Chapter IV. Evaluation of the GS[sub(p)](4) Integral for the Main Double Cosets""; ""1. Computation of the Integral J(t)""; ""2. Simplification of the Integrals Giving J(t)""; ""3. Computation of the Mellin Transform""; ""4. Evaluation of the Mellin Transform I: The Ramified Case""; ""5. Evaluation of the Mellin Transform II: The Case Ï?[sub(1)] Ramified, Ï?[sub(2)] Unramified""
""6. Evaluation of the Mellin Transform III: The Case Ï?[sub(1)] Unramified, Ï?[sub(2)] Ramified""""7. Evaluation of the Mellin Transform IV: The Unramified Case""; ""Chapter V. Evaluation of the G5[sub(p)](4) Integrals for the Other Relevant Double Cosets""; ""1. Computation of the Integral J(Ï?[sub(1)],t)""; ""2. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""3. Computation of the Integral J(Ï?[sub(2)],t)""; ""4. Evaluation of the Mellin Transform M[sub(J)](Ï?Ï?[sub(1)])""; ""References""
Record Nr. UNINA-9910812407003321
Friedberg Solomon <1958->  
Providence, Rhode Island : , : American Mathematical Society, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Autore Grantham S. B (Stephen B.), <1957->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1985
Descrizione fisica 1 online resource (73 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Transfinite numbers
Trees (Graph theory)
Ordered sets
Game theory
Soggetto genere / forma Electronic books.
ISBN 1-4704-0729-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and Preliminaries""; ""2. Galvin's Original Game, the Restricted Game, and the Relations <[sub(R)] and â?¡[sub(R)] ""; ""3. The Explicit Strategy for Finite Trees and the Definitions of E and F""; ""4. The Explicit Strategy for Infinite Trees and the Characterization of<[sub(R)] and â?¡[sub(R)] in Terms of E and F""; ""5. The Structure of the E and F Sequences""; ""6. The Relationship Between F(x) and Rank(x)""; ""7. The Main Theorem: Order Types Under <[sub(R)]""; ""8. Epilogue: Two Variants of Galvin's Game""
Record Nr. UNINA-9910480196303321
Grantham S. B (Stephen B.), <1957->  
Providence, Rhode Island : , : American Mathematical Society, , 1985
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Autore Grantham S. B (Stephen B.), <1957->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1985
Descrizione fisica 1 online resource (73 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Transfinite numbers
Trees (Graph theory)
Ordered sets
Game theory
ISBN 1-4704-0729-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and Preliminaries""; ""2. Galvin's Original Game, the Restricted Game, and the Relations <[sub(R)] and â?¡[sub(R)] ""; ""3. The Explicit Strategy for Finite Trees and the Definitions of E and F""; ""4. The Explicit Strategy for Infinite Trees and the Characterization of<[sub(R)] and â?¡[sub(R)] in Terms of E and F""; ""5. The Structure of the E and F Sequences""; ""6. The Relationship Between F(x) and Rank(x)""; ""7. The Main Theorem: Order Types Under <[sub(R)]""; ""8. Epilogue: Two Variants of Galvin's Game""
Record Nr. UNINA-9910788889903321
Grantham S. B (Stephen B.), <1957->  
Providence, Rhode Island : , : American Mathematical Society, , 1985
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Galvin's "racing pawns" game and a well-ordering of trees / / S. B. Grantham
Autore Grantham S. B (Stephen B.), <1957->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1985
Descrizione fisica 1 online resource (73 p.)
Disciplina 512/.7
Collana Memoirs of the American Mathematical Society
Soggetto topico Transfinite numbers
Trees (Graph theory)
Ordered sets
Game theory
ISBN 1-4704-0729-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Table of Contents""; ""1. Introduction and Preliminaries""; ""2. Galvin's Original Game, the Restricted Game, and the Relations <[sub(R)] and â?¡[sub(R)] ""; ""3. The Explicit Strategy for Finite Trees and the Definitions of E and F""; ""4. The Explicit Strategy for Infinite Trees and the Characterization of<[sub(R)] and â?¡[sub(R)] in Terms of E and F""; ""5. The Structure of the E and F Sequences""; ""6. The Relationship Between F(x) and Rank(x)""; ""7. The Main Theorem: Order Types Under <[sub(R)]""; ""8. Epilogue: Two Variants of Galvin's Game""
Record Nr. UNINA-9910817129003321
Grantham S. B (Stephen B.), <1957->  
Providence, Rhode Island : , : American Mathematical Society, , 1985
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (257 pages) : illustrations
Disciplina 512/.7
Collana Annals of Mathematics Studies
Soggetto topico Gaussian sums
Kloosterman sums
Homology theory
Monodromy groups
Soggetto non controllato Abelian category
Absolute Galois group
Absolute value
Additive group
Adjoint representation
Affine variety
Algebraic group
Automorphic form
Automorphism
Big O notation
Cartan subalgebra
Characteristic polynomial
Classification theorem
Coefficient
Cohomology
Cokernel
Combination
Commutator
Compactification (mathematics)
Complex Lie group
Complex number
Conjugacy class
Continuous function
Convolution theorem
Convolution
Determinant
Diagonal matrix
Dimension (vector space)
Direct sum
Dual basis
Eigenvalues and eigenvectors
Empty set
Endomorphism
Equidistribution theorem
Estimation
Exactness
Existential quantification
Exponential sum
Exterior algebra
Faithful representation
Finite field
Finite group
Four-dimensional space
Frobenius endomorphism
Fundamental group
Fundamental representation
Galois group
Gauss sum
Homomorphism
Integer
Irreducibility (mathematics)
Isomorphism class
Kloosterman sum
L-function
Leray spectral sequence
Lie algebra
Lie theory
Maximal compact subgroup
Method of moments (statistics)
Monodromy theorem
Monodromy
Morphism
Multiplicative group
Natural number
Nilpotent
Open problem
P-group
Pairing
Parameter space
Parameter
Partially ordered set
Perfect field
Point at infinity
Polynomial ring
Prime number
Quotient group
Representation ring
Representation theory
Residue field
Riemann hypothesis
Root of unity
Sheaf (mathematics)
Simple Lie group
Skew-symmetric matrix
Smooth morphism
Special case
Spin representation
Subgroup
Support (mathematics)
Symmetric matrix
Symplectic group
Symplectic vector space
Tensor product
Theorem
Trace (linear algebra)
Trivial representation
Variable (mathematics)
Weil conjectures
Weyl character formula
Zariski topology
ISBN 1-4008-8212-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References
Record Nr. UNINA-9910154750003321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (384 p.)
Disciplina 512/.7
Collana Contemporary mathematics
Soggetto topico Hilbert's tenth problem
Arithmetical algebraic geometry
Geometry, Algebraic
Soggetto genere / forma Electronic books.
ISBN 0-8218-7860-3
0-8218-5606-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""List of Participants""; ""Hilbert's tenth problem: What was done and what is to be done""; ""Undecidability of existential theories of rings and fields: A survey""; ""1. Introduction""; ""2. The existential theory of rational function fields""; ""3. The existential theory of algebraic function fields""; ""4. A geometric analogue of Hilbert's Tenth Problem""; ""5. Decision problems concerning rings of analytic functions: introduction""; ""6. First-order theories of rings of analytic functions""
""7. Existential decidability and the Approximation Property for rings of analytic functions""""8. Existential undecidability for rings of analytic functions""; ""9. Polynomial rings and p-adic entire functions""; ""10. Existential theories of fields of meromorphic functions""; ""11. Variations: Languages with predicates for symmetric functions""; ""Appendix A. Elliptic curves: Basic Definitions""; ""Appendix B. Elliptic curves over function fields""; ""Appendix C. Pell equations""; ""References""; ""Hilbert's tenth problem over number fields, a survey""; ""Defining constant polynomials""
""Decidability and local-global principles""""Applications of local-global principles to arithmetic and geometry""; ""Regularly T-closed fields""; ""Skolem density problems over large Galois extensions of global fields""; ""An effort to prove that the existential theory of Q is undecidable""; ""Topology of diophantine sets: Remarks on Mazur's conjectures""; ""Diagonal quadratic forms and Hilbert's tenth problem""; ""Algebraic geometry over four rings and the frontier to tractability""; ""1. Introduction""; ""2. Computing Complex Dimension Faster""
""3. Polytope Volumes and Counting Pieces of Semi-Algebraic Sets""""4. The Generalized Riemann Hypothesis and Detecting Rational Points""; ""5. Effective Siegel Versus Detecting Integral Points on Surfaces""; ""6. Proofs of Our Main Technical Results""; ""7. Acknowledgements""; ""Appendix: How the Examples Were Computed""; ""References""; ""Some model theory of compact complex spaces""; ""Double coset decompositions for algebraic groups over K[t]""; ""Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers""
Record Nr. UNINA-9910480309103321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (384 p.)
Disciplina 512/.7
Collana Contemporary mathematics
Soggetto topico Hilbert's tenth problem
Arithmetical algebraic geometry
Geometry, Algebraic
ISBN 0-8218-7860-3
0-8218-5606-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""List of Participants""; ""Hilbert's tenth problem: What was done and what is to be done""; ""Undecidability of existential theories of rings and fields: A survey""; ""1. Introduction""; ""2. The existential theory of rational function fields""; ""3. The existential theory of algebraic function fields""; ""4. A geometric analogue of Hilbert's Tenth Problem""; ""5. Decision problems concerning rings of analytic functions: introduction""; ""6. First-order theories of rings of analytic functions""
""7. Existential decidability and the Approximation Property for rings of analytic functions""""8. Existential undecidability for rings of analytic functions""; ""9. Polynomial rings and p-adic entire functions""; ""10. Existential theories of fields of meromorphic functions""; ""11. Variations: Languages with predicates for symmetric functions""; ""Appendix A. Elliptic curves: Basic Definitions""; ""Appendix B. Elliptic curves over function fields""; ""Appendix C. Pell equations""; ""References""; ""Hilbert's tenth problem over number fields, a survey""; ""Defining constant polynomials""
""Decidability and local-global principles""""Applications of local-global principles to arithmetic and geometry""; ""Regularly T-closed fields""; ""Skolem density problems over large Galois extensions of global fields""; ""An effort to prove that the existential theory of Q is undecidable""; ""Topology of diophantine sets: Remarks on Mazur's conjectures""; ""Diagonal quadratic forms and Hilbert's tenth problem""; ""Algebraic geometry over four rings and the frontier to tractability""; ""1. Introduction""; ""2. Computing Complex Dimension Faster""
""3. Polytope Volumes and Counting Pieces of Semi-Algebraic Sets""""4. The Generalized Riemann Hypothesis and Detecting Rational Points""; ""5. Effective Siegel Versus Detecting Integral Points on Surfaces""; ""6. Proofs of Our Main Technical Results""; ""7. Acknowledgements""; ""Appendix: How the Examples Were Computed""; ""References""; ""Some model theory of compact complex spaces""; ""Double coset decompositions for algebraic groups over K[t]""; ""Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers""
Record Nr. UNINA-9910788654503321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Hilbert's tenth problem : relations with arithmetic and algebraic geometry : Workshop on Hilbert's Tenth Problem: Relations with Arithmetic and Algebraic Geometry, November 2-5, 1999, Ghent University, Belgium / / Jan Denef [and three others], editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (384 p.)
Disciplina 512/.7
Collana Contemporary mathematics
Soggetto topico Hilbert's tenth problem
Arithmetical algebraic geometry
Geometry, Algebraic
ISBN 0-8218-7860-3
0-8218-5606-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""List of Participants""; ""Hilbert's tenth problem: What was done and what is to be done""; ""Undecidability of existential theories of rings and fields: A survey""; ""1. Introduction""; ""2. The existential theory of rational function fields""; ""3. The existential theory of algebraic function fields""; ""4. A geometric analogue of Hilbert's Tenth Problem""; ""5. Decision problems concerning rings of analytic functions: introduction""; ""6. First-order theories of rings of analytic functions""
""7. Existential decidability and the Approximation Property for rings of analytic functions""""8. Existential undecidability for rings of analytic functions""; ""9. Polynomial rings and p-adic entire functions""; ""10. Existential theories of fields of meromorphic functions""; ""11. Variations: Languages with predicates for symmetric functions""; ""Appendix A. Elliptic curves: Basic Definitions""; ""Appendix B. Elliptic curves over function fields""; ""Appendix C. Pell equations""; ""References""; ""Hilbert's tenth problem over number fields, a survey""; ""Defining constant polynomials""
""Decidability and local-global principles""""Applications of local-global principles to arithmetic and geometry""; ""Regularly T-closed fields""; ""Skolem density problems over large Galois extensions of global fields""; ""An effort to prove that the existential theory of Q is undecidable""; ""Topology of diophantine sets: Remarks on Mazur's conjectures""; ""Diagonal quadratic forms and Hilbert's tenth problem""; ""Algebraic geometry over four rings and the frontier to tractability""; ""1. Introduction""; ""2. Computing Complex Dimension Faster""
""3. Polytope Volumes and Counting Pieces of Semi-Algebraic Sets""""4. The Generalized Riemann Hypothesis and Detecting Rational Points""; ""5. Effective Siegel Versus Detecting Integral Points on Surfaces""; ""6. Proofs of Our Main Technical Results""; ""7. Acknowledgements""; ""Appendix: How the Examples Were Computed""; ""References""; ""Some model theory of compact complex spaces""; ""Double coset decompositions for algebraic groups over K[t]""; ""Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers""
Record Nr. UNINA-9910825811003321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui