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L-Functions and Automorphic Forms

LAF, Heidelberg, February 22-26, 2016

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Jan Hendrik Bruinier

    1. Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

  2. Winfried Kohnen

    1. Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany

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

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About this book

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.

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Table of contents (19 papers)

  1. Front Matter

    Pages i-viii
    Download chapter 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 GL 3 ×GL 1 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
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Editors and Affiliations

  • Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany

    Jan Hendrik Bruinier

  • Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany

    Winfried Kohnen

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