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L-Functions and automorphic forms [electronic resource] : LAF, Heidelberg, February 22-26, 2016

L-Functions and automorphic forms [electronic resource] : LAF, Heidelberg, February 22-26, 2016

Material type
E-Book(소장)
Personal Author
Bruinier, Jan Hendrik. Kohnen, Winfried.
Title Statement
L-Functions and automorphic forms [electronic resource] : LAF, Heidelberg, February 22-26, 2016 / Jan Hendrik Bruinier, Winfried Kohnen, editor.
Publication, Distribution, etc
Cham :   Springer,   c2017.  
Physical Medium
1 online resource (viii, 366 p.) : ill.
Series Statement
Contributions in Mathematical and Computational Sciences,2191-303X ; 10
ISBN
9783319697116 9783319697123 (e-book)
요약
This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016.  The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.  The 19 papers cover a wide range of topics within the scope of the conference, including automorphic L-functions and their special values, p-adic modular forms, Eisenstein series, Borcherds products, automorphic periods, and many more.
General Note
Title from e-Book title page.  
Content Notes
1. P. Anamby and S. Das: Sturm-like bound for square-free Fourier coefficients -- 2. N. Andersen, K. Bringmann and K. Rolen: Images of Maass-Poincaré series in the lower half-plane -- 3. S. Börcherer: On denominators of values of certain L-functions when twisted by characters -- 4. H. Darmon, A. Lauder, V. Rotger: First order p-adic deformations of weight one newforms -- 5. S. Ehlen, N-P. Skoruppa: Computing invariants of the Weil representation -- 6. W-T. Gan: The metaplectic tensor product as an instance of Langlands functoriality -- 7. M. Grados and A. von Pippich: On scattering constants of congruence subgroups -- 8. B. Kane and S.H. Man: The Bruinier-Funke pairing and the orthogonal complement of unary theta functions -- 9. W. Kohnen and J. Sengupta: Bounds for Fourier-Jacobi coefficients of Siegel cusp forms of degree two -- 10. Y. Li: Harmonic Eisenstein series of weight one -- 11. A. Pitale, S. Abhishek and R. Schmidt: A note on the growth of nearly holomorphic vector-valued Siegel modular forms -- 12. A. Raghuram and G. Sachdeva: Critical values of L-functions for GL3 x GL1 over a totally real field -- 13. M. Raum: Indecomposable Harish-Chandara modules for Jacobi groups -- 14. M. Rösner and R. Weissauer: Multiplicity one for certain paramodular forms of genus two -- 15. H.C. Siu and K. Soundararajan: Restrictions of Hecke eigenforms to horocycles -- 16. M. Woodbury: On the triple product formula: Real local calculations -- 17. C. Alfes-Neumann: An introduction to the theory of harmonic Maass forms -- 18. S. Börcherer: Elementary Introduction to p-adic Siegel Modular Forms -- 19. E. Hofmann: Liftings and Borcherds products.
Bibliography, Etc. Note
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Number theory. Geometry, algebraic. Topological Groups. Differential equations, partial.
Short cut
URL
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020 ▼a 9783319697116
020 ▼a 9783319697123 (e-book)
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA241-247.5
082 0 4 ▼a 512.73 ▼2 23
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245 0 0 ▼a L-Functions and automorphic forms ▼h [electronic resource] : ▼b LAF, Heidelberg, February 22-26, 2016 / ▼c Jan Hendrik Bruinier, Winfried Kohnen, editor.
260 ▼a Cham : ▼b Springer, ▼c c2017.
300 ▼a 1 online resource (viii, 366 p.) : ▼b ill.
490 1 ▼a Contributions in Mathematical and Computational Sciences, ▼x 2191-303X ; ▼v 10
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a 1. P. Anamby and S. Das: Sturm-like bound for square-free Fourier coefficients -- 2. N. Andersen, K. Bringmann and K. Rolen: Images of Maass-Poincaré series in the lower half-plane -- 3. S. Börcherer: On denominators of values of certain L-functions when twisted by characters -- 4. H. Darmon, A. Lauder, V. Rotger: First order p-adic deformations of weight one newforms -- 5. S. Ehlen, N-P. Skoruppa: Computing invariants of the Weil representation -- 6. W-T. Gan: The metaplectic tensor product as an instance of Langlands functoriality -- 7. M. Grados and A. von Pippich: On scattering constants of congruence subgroups -- 8. B. Kane and S.H. Man: The Bruinier-Funke pairing and the orthogonal complement of unary theta functions -- 9. W. Kohnen and J. Sengupta: Bounds for Fourier-Jacobi coefficients of Siegel cusp forms of degree two -- 10. Y. Li: Harmonic Eisenstein series of weight one -- 11. A. Pitale, S. Abhishek and R. Schmidt: A note on the growth of nearly holomorphic vector-valued Siegel modular forms -- 12. A. Raghuram and G. Sachdeva: Critical values of L-functions for GL3 x GL1 over a totally real field -- 13. M. Raum: Indecomposable Harish-Chandara modules for Jacobi groups -- 14. M. Rösner and R. Weissauer: Multiplicity one for certain paramodular forms of genus two -- 15. H.C. Siu and K. Soundararajan: Restrictions of Hecke eigenforms to horocycles -- 16. M. Woodbury: On the triple product formula: Real local calculations -- 17. C. Alfes-Neumann: An introduction to the theory of harmonic Maass forms -- 18. S. Börcherer: Elementary Introduction to p-adic Siegel Modular Forms -- 19. E. Hofmann: Liftings and Borcherds products.
520 ▼a This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016.  The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways.  The 19 papers cover a wide range of topics within the scope of the conference, including automorphic L-functions and their special values, p-adic modular forms, Eisenstein series, Borcherds products, automorphic periods, and many more.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Number theory.
650 0 ▼a Geometry, algebraic.
650 0 ▼a Topological Groups.
650 0 ▼a Differential equations, partial.
700 1 ▼a Bruinier, Jan Hendrik.
700 1 ▼a Kohnen, Winfried.
830 0 ▼a Contributions in Mathematical and Computational Sciences ; ▼v 10.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=https://doi.org/10.1007/978-3-319-69712-3
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.73 Accession No. E14014528 Availability Loan can not(reference room) Due Date Make a Reservation Service M

Contents information

Table of 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 Series -- 2.4 Petersson Product -- 2.5 Hecke Operators and L-Functions -- 3 The Main Construction -- 3.1 The Construction of gnk,ν(χ) -- 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 K -- 2.3 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 Product -- 2 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 Constants -- 3 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 Bruinier–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 B.

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