Lecture Notes in Mathematics

Modular Functions of One Variable II

Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972

Editors: Deligne, P., Kuyk, Willem (Eds.)

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About this book

This is Volume 2 of the Proceedings of the International Summer School on "Modular functions of one variable and arithmetical applications" which took place at RUCA, Antwerp University, from July 17 till August 3, 1972. It contains papers by W. Casselman, P. Deligne, R. Langlands and 1. 1. Piateckii-Shapiro. Its theme is the interplay between modular schemes for elliptic curves, and representations of GL(2). P. Deligne W. Kuyk CONTENTS W. CASSELMAN An assortment of results on represen­ 1 tations of GL (k) 2 P. DELIGNE Formes mOdulaires et representations 55 de GL(2) W. CASSELMAN On representations of GL and the arith­ 107 2 metic of modular curves P. DELIGNE - M. RAPOPORT Les schemas de modules de courbes ellip­ 143 tiques 1. 1. PIATECKII-SHAPIRO Zeta-functions of modular curves 317 R. P. LANGLANDS Modular forms and t-adic representations 361 P. DELIGNE Les constantes des equations fonctionnelles 501 des fonctions L Addresses of authors 598 AN ASSORTMENT OF RESULTS ON REPRESENTATIONS OF GL (k) 2 by W. Casselman~ International Summer School on Modular Functions} Antwerp 1972 ~ The author's travel expences for this conference were paid for by a grant from the National Research Council of Canada. -2- Cas-2 Contents Introduction 3 Notations §1. Generalities 5 Appendix §2. The principal series representations of 15 GL (O) and the associated Hecke algebras 2 §3. The principal series of G 29 §4.

Table of contents (7 chapter)

  • An Assortment of Results on Representations of GL

    Casselman, W.

    Pages 1-54

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  • Formes Modulaires et Representations De GL(2)

    Deligne, P.

    Pages 55-105

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  • On Representations of Gl

    Casselman, W.

    Pages 107-141

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  • Les Schémas de Modules de Courbes Elliptiques

    Deligne, P. (et al.)

    Pages 143-316

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  • Zeta-Functions of Modular Curves

    Piateckii-Shapiro, I. I.

    Pages 317-360

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eBook $39.95 net
( price for USA )
  • ISBN 978-3-540-37855-6
  • digitally watermarked, no DRM
  • included format: PDF
  • eBooks can be used on all Reading Devices
Softcover $59.00 net
( price for USA )
  • ISBN 978-3-540-06558-6
  • free shipping for individuals worldwide
  • usually dispatched within 3 to 5 business days

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Bibliographic Information

Bibliographic Information
Book Title
Modular Functions of One Variable II
Book Subtitle
Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972
Series Title
Lecture Notes in Mathematics
Series Volume
349
Copyright
1973
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-37855-6
DOI
10.1007/978-3-540-37855-6
Softcover ISBN
978-3-540-06558-6
Series ISSN
0075-8434
Edition Number
1
Topics