1.
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EB
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by Lars Halvard Halle, Johannes Nicaise
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Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction |
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Preliminaries |
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Models of curves and the Neron component series of a Jacobian |
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Component groups and non-archimedean uniformization |
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The base change conductor and Edixhoven's ltration |
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The base change conductor and the Artin conductor |
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Motivic zeta functions of semi-abelian varieties |
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Cohomological interpretation of the motivic zeta function. /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;} |
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Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction |
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Preliminaries |
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Models of curves and the Neron component series of a Jacobian |
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2.
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EB
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by Steve Wright
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Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime |
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Chapter 2. Basic Facts |
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Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity |
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Chapter 4. Four Interesting Applications of Quadratic Reciprocity |
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Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications |
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Chapter 6. Elementary Proofs |
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Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues |
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Chapter 8. Dirichlet's Class-Number Formula |
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Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression |
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Chapter 10. Are quadratic residues randomly distributed? |
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Bibliography |
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Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime |
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Chapter 2. Basic Facts |
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Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity |
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3.
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EB
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by W. A. Zúñiga-Galindo
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p-Adic Analysis: Essential Ideas and Results |
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Parabolic-type Equations and Markov Processes |
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Non-Archimedean Parabolic-type Equations With Variable Coefficients |
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Parabolic-Type Equations on Adeles |
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Fundamental Solutions and Schrödinger Equations |
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Pseudodifferential Equations of Klein-Gordon Type |
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p-Adic Analysis: Essential Ideas and Results |
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Parabolic-type Equations and Markov Processes |
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Non-Archimedean Parabolic-type Equations With Variable Coefficients |
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4.
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EB
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by Hatice Boylan
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Introduction |
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Notations |
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Finite Quadratic Modules |
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Weil Representations of Finite Quadratic Modules |
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Jacobi Forms over Totally Real Number Fields |
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Singular Jacobi Forms |
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Tables |
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Glossary |
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Introduction |
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Notations |
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Finite Quadratic Modules |
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5.
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EB
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by Christian Weiß
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Introduction |
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Background |
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Teichmüller Curves |
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Twisted Teichmüller Curves |
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Stabilizer and Maximality |
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Calculations for Twisted Teichmüller Curves |
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Prym Varieties and Teichmüller Curves |
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Lyapunov Exponents |
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Kobayashi Curves Revisited |
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Appendix |
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Tables |
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List of Symbols |
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Index |
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Bibliography |
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Introduction |
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Background |
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Teichmüller Curves |
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6.
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EB
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by Siegfried Bosch
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Classical Rigid Geometry |
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Tate Algebras |
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Affinoid Algebras and their Associated Spaces |
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Affinoid Functions |
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Towards the Notion of Rigid Spaces |
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Coherent Sheaves on Rigid Spaces |
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Formal Geometry |
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Adic Rings and their Associated Formal Schemes |
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Raynaud's View on Rigid Spaces |
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More Advanced Stuff |
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Appendix |
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References |
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Index |
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Classical Rigid Geometry |
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Tate Algebras |
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Affinoid Algebras and their Associated Spaces |
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7.
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EB
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edited by William Chen, Anand Srivastav, Giancarlo Travaglini
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Preface |
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Classical and Geometric Discrepancy |
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Upper Bounds in Classical Discrepancy Theory |
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Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections |
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Irregularities of distribution and average decay of Fourier transforms |
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Superirregularity |
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Combinatorial Discrepancy |
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Multicolor Discrepancy of Arithmetic Structures |
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Algorithmic Aspects of Combinatorial Discrepancy |
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Practical Algorithms for Low-Discrepancy 2-Colorings |
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Applications and Constructions |
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On the distribution of solutions to diophantine equations |
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Discrepancy theory and quasi-Monte Carlo integration |
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Calculation of Discrepancy Measures and Applications |
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Author index |
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Subject index |
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Preface |
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Classical and Geometric Discrepancy |
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Upper Bounds in Classical Discrepancy Theory |
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8.
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EB
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by Lou van den Dries, Jochen Koenigsmann, H. Dugald Macpherson, Anand Pillay, Carlo Toffalori, Alex J. Wilkie
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Some themes around first order theories without the independence property |
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Lectures on the model theory of real and complex exponentiation |
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Lectures on the model theory of valued fields |
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Undecidability in number theory |
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Some themes around first order theories without the independence property |
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Lectures on the model theory of real and complex exponentiation |
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Lectures on the model theory of valued fields |
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9.
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EB
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by Jakob Stix
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Part I Foundations of Sections |
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1 Continuous Non-abelian H1 with Profinite Coefficients.-2 The Fundamental Groupoid |
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3 Basic Geometric Operations in Terms of Sections |
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4 The Space of Sections as a Topological Space |
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5 Evaluation of Units |
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6 Cycle Classes in Anabelian Geometry |
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7 Injectivity in the Section Conjecture |
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Part II Basic Arithmetic of Sections |
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8 Reduction of Sections |
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9 The Space of Sections in the Arithmetic Case and the Section Conjecture in Covers |
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Part III On the Passage from Local to Global |
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10 Local Obstructions at a p-adic Place |
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11 Brauer-Manin and Descent Obstructions |
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12 Fragments of Non-abelian Tate–Poitou Duality |
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Part IV Analogues of the Section Conjecture |
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13 On the Section Conjecture for Torsors |
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14 Nilpotent Sections |
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15 Sections over Finite Fields |
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16 On the Section Conjecture over Local Fields |
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17 Fields of Cohomological Dimension 1 |
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18 Cuspidal Sections and Birational Analogues |
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Part I Foundations of Sections |
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1 Continuous Non-abelian H1 with Profinite Coefficients.-2 The Fundamental Groupoid |
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3 Basic Geometric Operations in Terms of Sections |
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10.
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EB
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by Benjamin Howard, Tonghai Yang
目次情報:
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1. Introduction |
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2. Linear Algebra |
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3. Moduli Spaces of Abelian Surfaces |
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4. Eisenstein Series |
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5. The Main Results |
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6. Local Calculations |
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1. Introduction |
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2. Linear Algebra |
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3. Moduli Spaces of Abelian Surfaces |
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11.
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EB
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by Jean-Louis Colliot-Thelene, Peter Swinnerton-Dyer, Paul Vojta ; edited by Pietro Corvaja, Carlo Gasbarri
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12.
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EB
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by Martine Queffélec
目次情報:
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The Banach Algebra (T) |
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Spectral Theory of Unitary Operators |
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Spectral Theory of Dynamical Systems |
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Dynamical Systems Associated with Sequences |
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Dynamical Systems Arising from Substitutions |
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Eigenvalues of Substitution Dynamical Systems |
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Matrices of Measures |
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Matrix Riesz Products |
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Bijective Automata |
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Maximal Spectral Type of General Automata |
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Spectral Multiplicity of General Automata |
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Compact Automata |
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The Banach Algebra (T) |
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Spectral Theory of Unitary Operators |
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Spectral Theory of Dynamical Systems |
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13.
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EB
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by Jean-Louis Colliot-Thélène, Peter Swinnerton-Dyer, Paul Vojta ; edited by Pietro Corvaja, Carlo Gasbarri
目次情報:
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Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences |
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Topics in Diophantine Equations |
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Diophantine Approximation and Nevanlinna Theory |
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Variétés presque rationnelles, leurs points rationnels et leurs dégénérescences |
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Topics in Diophantine Equations |
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Diophantine Approximation and Nevanlinna Theory |
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14.
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EB
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by Rainer Weissauer
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15.
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EB
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edited by Catherine Donati-Martin, Michel Emery, Alain Rouault, Christophe Stricker
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16.
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EB
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by Marcus du Sautoy, Luke Woodward
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17.
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EB
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edited by Shai M. J. Haran
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18.
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EB
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by Jorn Steuding
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19.
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EB
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by Olivier Wittenberg
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20.
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EB
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edited by Brooks Roberts, Ralf Schmidt
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21.
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EB
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by J. B. Friedlander, D. R. Heath-Brown, H. Iwaniec, J. Kaczorowski ; edited by Alberto Perelli, Carlo Viola
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22.
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図書
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Goro Shimura
出版情報: |
New York : Springer-Verlag, c2002-c2003 |
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