Modular Functions of One Variable I

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

• Broschiertes Buch

Produktbeschreibung

An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. It includes the basic course given by A. Ogg, and several other papers with a strong analyt~c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic rep resentations) and P. Deligne (modular schemes - representations of GL ) and papers on related topics. 2 Volume 3 is devoted to p-adic properties of modular forms and applications to l-adic representations and zeta functions. Volume 4 collects various material on elliptic curves, includ ing numerical tables. The School was a NATO Advanced Study Institute, and the orga nizers want to thank NATO for its major subvention. Further support, in various forms, was received from IBM Belgium, the Coca-Cola Co. of Belgium, Rank Xerox Belgium, the Fort Food Co. of Belgium, and NSF Washington, D.C-- We extend our warm est thanks to all of them, as well as to RUCA and the local staff (not forgetting hostesses and secretaries!) who did such an excellent job.

Produktdetails

• Lecture Notes in Mathematics 320
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-06219-6
• 1973
• Seitenzahl: 204
• Erscheinungstermin: 1. Januar 1973
• Englisch
• Abmessung: 235mm x 155mm x 12mm
• Gewicht: 332g
• ISBN-13: 9783540062196
• ISBN-10: 354006219X
• Artikelnr.: 23380402

Inhaltsangabe

Survey of Modular Functions of One Variable.- Complex Multiplication.- Modular Forms of Half Integral Weight.- The Basis Problem for Modular Forms and the Traces of the Hecke Operators.- Class-Numbers of Complex Quadratic Fields.- Some Calculations of Modular Relations.- On the Aq (?) ? Bq (?) Conjecture.