Editorial Board Walter Craig Nikolai Ivanov Steven G. Krantz David Saltman (Chair) 2000 Mathematics Subject Classification. Primary 11F12, 11F30, 11F72. Library of Congress Cataloging-in-Publication Data Iwaniec, Henryk. Spectral methods of automorphic forms / Henryk Iwaniec.—2nd ed. p. cm. (Graduate studies in mathematics, ISSN 1065-7339 v. 53) First ed. published in Revista matem´ atica iberoamericana in 1995. Includes bibliographical references and index. ISBN 0-8218-3160-7 (acid-free paper) 1. Automorphic functions. 2. Automorphic forms. 3. Spectral theory (Mathematics) I. Title. II. Series. QA353.A9 I88 2002 511.3 3—dc21 2002027749 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294, USA. Requests can also be made by e-mail to reprint-permission@ams.org. c 2002 by Henryk Iwaniec. All rights reserved. The American Mathematical Society retains all rights except those granted to the United States Government. Printed in the United States of America. The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at http://www.ams.org/ 10 9 8 7 6 5 4 3 2 17 16 15 14 13 12
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