Editorial Board Gerald B. Folland Brad Osgood Robin Forman (Chair) Michael Star bird 2000 Mathematics Subject Classification. Primary l l P x x Secondary 11P81, 11P83, 11F20, 11F27, 11A55, 33C75, 33E05. For additional information and updates on this book, visit w w w . a m s . o r g / b o o k p a g e s / s t m l - 3 4 Library of Congress Cataloging-in-Publication Dat a Berndt, Bruce C , 1939- Number theory in the spirit of Ramamijan / Bruce C. Berndt. p. cm. (Student mathematical library, ISSN 1520-9121 v. 34) Includes bibliographical references. ISBN-13: 978-0-8218-4178-5 (alk. paper) 1. Number theory. 2. Functions, Theta. 3. q-series. 4. Ramanujan Aiyangar, Srinivasa, 1887-1920. I. Title. II. Series. QA241 .B49 2006 512.7-dc22 2006045959 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-permissionQams.org. © 2006 by the American Mathematical Society. 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 1 11 10 09 08 07 06
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