Modular Functions of one Variable V Proceedings International Confer
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601 Modular Functions of one Variable V Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik July 2-14, 1976
Edited by J.-P. Serre and D. B. Zagier
Springer-Verlag Berlin Heidelberg New York 1977
Editors Jean-Pierre Serre College de France 75231 Paris Cedex 05 France
Don Bernard Zagier Mathematisches lnstitut der Universitat Bonn Wegelerstr. 10 53 Bonn/BRD
Library of Congress. Cataloging in Publication Data
Main entry under title: Modular functions of one variable V- •
(Lecture notes in mathematics ; 601) 1. Functions, Modular-Congresses. 2. Algebraic number theory-Congresses. I. Serre, Jean-Pierre. II. Zagier, Don Bernard. III. Series: Lecture notes in mathematics (Berlin) ; 6ol) QA3.L2B no. 601, etc. cW43 1 510 1 .Bs 77-2214B c515 1 ·9J
AMS Subject Classifications {1970): 10C15, 10005, 10025, 12A99, 14H45, 14K22, 14K25 ISBN 3-540-08348-0 ISBN 0-387-08348-0
Springer-Verlag Berlin Heidelberg New York Springer-Verlag New York Heidelberg Berlin
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© by Springer-Verlag Berlin Heidelberg 1977 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr.
2141/3140-543210
P RE F ACE
In view of the increased interest and rapid developments in the theory of modular forms which followed the 1972 conference in Antwerp, it was decided to have a second meeting on the same subject. in the summer of 1976 in place of the annual
This meeting was held in Bonn ~athematische
Arbeitstagung.
The
organizers were F. Hirzebruch, J-P. Serre and D. Zagier. The proceedings of the conference are being published in two parts, as a continuation of the four volumes of proceedings of the Antwerp conference (Lecture Notes Nos. 320, 349, 350 and 476).
The present volume is mostly
algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables. The conference was sponsored by the "Special Research Area in Theoretical ~thematics"
(Sonderforschungsbereich 40 der Deutschen Forschungsgemeinschaft)
at the University of Bonn, with further support from the College de France and the International Mathematical Union.
We would like to thank these organizations
as well as the National Science Foundation, whose generous financial support made it possible for a large number of mathematicians from the United States to attend the meeting.
We would also like to thank W. Kuyk of the University of
Antwerp, who placed secretarial help at our disposal for th
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