Siegel Modular Forms A Classical and Representation-Theoretic Approa
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnect
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Ameya Pitale
Siegel Modular Forms A Classical and Representation-Theoretic Approach
Lecture Notes in Mathematics Volume 2240
Editor-in-Chiefs Jean-Michel Morel, CMLA, École Normale Supérieure de Cachan, Cachan, France Bernard Teissier, Equipe Géométrie et Dynamique, Institut Mathématique de Jussieu-Paris Rive Gauche, Paris, France Advisory Editor Michel Brion, Institut Fourier, Université Grenoble Alpes Institut Fourier, Grenoble, France Camillo De Lellis, Institute for Advanced Study, Princeton, NJ, USA Alessio Figalli, Department of Mathematics, Swiss Federal Institute of Technology, Zurich, Switzerland Davar Khoshnevisan, Department of Mathematics, The University of Utah, Salt Lake City, UT, USA Ioannis Kontoyiannis, Department of Engineering, University of Cambridge, Cambridge, UK Gábor Lugosi, Department of Economics and Business, Universitat Pompeu Fabra, Barcelona, Spain Mark Podolskij, Department of Mathematics, Aarhus University, Aarhus, Denmark Sylvia Serfaty, Courant Institute of Mathematics, New York University Courant Institute of Mathematics, New York, NY, USA Anna Wienhard, Mathematisches Institut, Universität Heidelberg, Heidelberg, Germany
More information about this series at http://www.springer.com/series/304
Ameya Pitale
Siegel Modular Forms A Classical and Representation-Theoretic Approach
123
Ameya Pitale Mathematics University of Oklahoma Norman, OK, USA
ISSN 0075-8434 ISSN 1617-9692 (electronic) Lecture Notes in Mathematics ISBN 978-3-030-15674-9 ISBN 978-3-030-15675-6 (eBook) https://doi.org/10.1007/978-3-030-15675-6 Library of Congress Control Number: 2019934367 Mathematics Subject Classification (2010): 11-XX, 11-02, 11Fxx, 20-XX, 20Cxx, 20Kxx © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The reg
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