L-functions and automorphic forms : LAF, Heidelberg, February 22-26, 2016 /: LAF, Heidelberg, February 22-26, 2016. (2018)

• Record Type: Book
• Further Information: Note: Jan Hendrik Bruinier, Winfried Kohnen, editors.
• Editors: Bruinier, Jan H (Jan Hendrik), 1971-; Kohnen, Winfried
• Other Names: Conference on "L-Functions and Automorphic Forms"
• Contents: Intro; Preface; Contents; Sturm-Like Bound for Square-Free Fourier Coefficients; 1 Introduction; 2 Proof of the Main Result; 2.1 Remarks; 2.2 Further Questions; References; Images of Maass-Poincaré Series in the Lower Half-Plane; 1 Introduction and Statement of Results; 2 Preliminaries; 2.1 Harmonic Maass Forms; 2.2 Poincaré Series; 3 Proof of Theorem 1.1; 3.1 The Holomorphic Part; 3.2 The Non-holomorphic Part; References; On Denominators of Values of Certain L-Functions When Twisted by Characters; 1 Introduction; 2 Preliminaries; 2.1 General Notation; 2.2 Siegel Modular Forms 2.3 Eisenstein Series2.4 Petersson Product; 2.5 Hecke Operators and L-Functions; 3 The Main Construction; 3.1 The Construction of gnk, ν(Ï#x87;); First Step: Exterior Twist; Second Step: Differential Operators; Third Step: Spectral Decomposition; 3.2 Forth Step: Level Change; Fifth Step: Normalization; 4 Congruence Primes and Denominators; 5 Congruences for Modular Forms; 6 Denominators Again; 7 Outlook; References; First Order p-Adic Deformations of Weight One Newforms; Introduction; Part A: The Regular Setting; 1 The General Case; 2 CM Forms; 2.1 The Case Where p Splits in K 2.2 The Case Where p Is Inert in K2.3 Numerical Examples; 3 RM Forms; Part B: The Irregular Setting; 4 Generalised Eigenspaces; 5 The General Case; 6 CM Forms; 7 RM Forms; References; Computing Invariants of the Weil Representation; 1 Introduction; 2 Finite Quadratic Modules and Weil Representations; 3 Invariants; 4 The Algorithm; 5 Reduction Mod; 6 Tables; References; The Metaplectic Tensor Product as an Instance of Langlands Functoriality; 1 Kazhdan-Patterson Coverings and Metaplectic Tensor Product; 1.1 Kazhdan-Patterson Covering; 1.2 Covers of Levi Subgroups 1.3 Metaplectic Tensor Product2 L-Group Formalism; 2.1 Dual Group; 2.2 Structural Facts; 2.3 L-Group and LLC; 2.4 Desiderata; 2.5 LLC for Covering Tori; 2.6 LLC for Principal Series; 2.7 Distinguished Splittings; 3 L-Group Interpretation of Metaplectic Tensor Product; 3.1 Setup; 3.2 The Conjecture; 3.3 Case of Principal Series; References; On Scattering Constants of Congruence Subgroups; 1 Introduction; 1.1 Scattering Constants; 1.2 Purpose of this Article; 1.3 Outline of the Article; 2 Background Material; 2.1 Congruence Subgroups; 2.2 Cusps; 2.3 Non-holomorphic Eisenstein Series 2.4 Scattering Functions and Scattering Constants3 The Principal Congruence Subgroup; 3.1 Cusps; 3.2 Scattering Functions; 4 Relation for Non-holomorphic Eisenstein Series; 5 Formulas for Scattering Constants; 6 Examples; References; The Bruinierâ#x80;#x93;Funke Pairing and the Orthogonal Complement of Unary Theta Functions; 1 Introduction; 2 Preliminaries; 2.1 Basic Definitions; 2.2 Half-Integral Weight Forms; 2.3 Theta Functions for Quadratic Polynomials; 3 The Bruinierâ#x80;#x93;Funke Pairing; 4 An Application to Lattice Theory; 4.1 An Application; 4.2 An Individual Case; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 512.7/3; Mathematics; L-functions -- Congresses; Automorphic forms -- Congresses; MATHEMATICS / Algebra / Intermediate; Automorphic forms; L-functions; Mathematics -- Geometry -- Algebraic; Mathematics -- Group Theory; Mathematics -- Mathematical Analysis; Algebraic geometry; Groups & group theory; Complex analysis, complex variables; Number theory; Geometry, algebraic; Topological Groups; Differential equations, partial; Mathematics -- Number Theory; Number theory; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319697123; 3319697129
• Related ISBNs: 9783319697116
• Notes: Note: Online resource; title from PDF title page (EBSCO, viewed February 28, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.