L-Functions and Automorphic Forms: Laf, Heidelberg, February 22-26, 2016

ISBN-13: 9783319697116 / Angielski / Twarda / 2018 / 366 str.

Jan Hendrik Bruinier; Winfried Kohnen

Opis

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.

Spis treści

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.

Blurb

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.