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TitleModular Functions of One Variable I [electronic resource] : Proceedings International Summer School University of Antwerp, RUCA July 17-August 3, 1972 / edited by Willem Kuijk
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1973
Connect tohttp://dx.doi.org/10.1007/978-3-540-38509-7
Descript V, 195 p. online resource

SUMMARY

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 analyt̃c flavour. Volume 2 contains the courses of R. P. Langlands (l-adic repยญ 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, includยญ ing numerical tables. The School was a NATO Advanced Study Institute, and the orgaยญ 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.Cโ{128}ขโ{128}ข We extend our warmยญ 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


CONTENT

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


Mathematics Mathematical analysis Analysis (Mathematics) Number theory Mathematics Number Theory Analysis



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