Advertisement

L-Functions and Automorphic Forms

LAF, Heidelberg, February 22-26, 2016

  • Jan Hendrik Bruinier
  • Winfried Kohnen
Conference proceedings

Part of the Contributions in Mathematical and Computational Sciences book series (CMCS, volume 10)

Table of contents

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

About these proceedings

Introduction

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.

Keywords

11-XX,11MXX,11FXX,11GXX,14CXX,14GXX,32MXX,32NXX L-Function Automorphic Form Automorphic Representation Critical Value p-adic Modular Form Theta Function Borcherds product

Editors and affiliations

  • Jan Hendrik Bruinier
    • 1
  • Winfried Kohnen
    • 2
  1. 1.Fachbereich MathematikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Mathematisches InstitutUniversität HeidelbergHeidelbergGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-69712-3
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-69711-6
  • Online ISBN 978-3-319-69712-3
  • Series Print ISSN 2191-303X
  • Series Online ISSN 2191-3048
  • Buy this book on publisher's site