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

Description

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. Front Matter ....Pages i-viii Sturm-Like Bound for Square-Free Fourier Coefficients (Pramath Anamby, Soumya Das)....Pages 1-7 Images of Maass-Poincaré Series in the Lower Half-Plane (Nickolas Andersen, Kathrin Bringmann, Larry Rolen)....Pages 9-23 On Denominators of Values of Certain L-Functions When Twisted by Characters (Siegfried Böcherer)....Pages 25-38 First Order p-Adic Deformations of Weight One Newforms (Henri Darmon, Alan Lauder, Victor Rotger)....Pages 39-80 Computing Invariants of the Weil Representation (Stephan Ehlen, Nils-Peter Skoruppa)....Pages 81-96 The Metaplectic Tensor Product as an Instance of Langlands Functoriality (Wee Teck Gan)....Pages 97-114 On Scattering Constants of Congruence Subgroups (Miguel Grados, Anna-Maria von Pippich)....Pages 115-137 The Bruinier–Funke Pairing and the Orthogonal Complement of Unary Theta Functions (Ben Kane, Siu Hang Man)....Pages 139-157 Bounds for Fourier-Jacobi Coefficients of Siegel Cusp Forms of Degree Two (Winfried Kohnen, Jyoti Sengupta)....Pages 159-169 Harmonic Eisenstein Series of Weight One (Yingkun Li)....Pages 171-184 A Note on the Growth of Nearly Holomorphic Vector-Valued Siegel Modular Forms (Ameya Pitale, Abhishek Saha, Ralf Schmidt)....Pages 185-193 Critical Values of L-Functions for GL3 ×GL1 over a Totally Real Field (A. Raghuram, Gunja Sachdeva)....Pages 195-230 Indecomposable Harish-Chandra Modules for Jacobi Groups (Martin Raum)....Pages 231-249 Multiplicity One for Certain Paramodular Forms of Genus Two (Mirko Rösner, Rainer Weissauer)....Pages 251-264 Restriction of Hecke Eigenforms to Horocycles (Ho Chung Siu, Kannan Soundararajan)....Pages 265-273 On the Triple Product Formula: Real Local Calculations (Michael Woodbury)....Pages 275-298 An Introduction to the Theory of Harmonic Maass Forms (Claudia Alfes-Neumann)....Pages 299-316 Elementary Introduction to p-Adic Siegel Modular Forms (Siegfried Böcherer)....Pages 317-332 Liftings and Borcherds Products (Eric Hofmann)....Pages 333-366