L-Functions and Automorphic Forms : LAF, Heidelberg, February 22-26, 2016 / edited by Jan Hendrik Bruinier, Winfried Kohnen.

Format:

Book

Contributor:

Bruinier, Jan H. (Jan Hendrik), 1971- Editor.

Kohnen, Winfried, Editor.

Series:

Contributions in Mathematical and Computational Sciences, 2191-3048 ; 10

Language:

English

Subjects (All):

Number theory.

Geometry, Algebraic.

Topological groups.

Lie groups.

Functions of complex variables.

Number Theory.

Algebraic Geometry.

Topological Groups and Lie Groups.

Several Complex Variables and Analytic Spaces.

Local Subjects:

Number Theory.

Algebraic Geometry.

Topological Groups and Lie Groups.

Several Complex Variables and Analytic Spaces.

Physical Description:

1 online resource (367 pages).

Edition:

1st ed. 2017.

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2017.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references at the end of each chapters.

ISBN:

9783319697123

3319697129