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Modular Functions of One Variable I

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

Kuyk (Herausgeber)

Buch | Softcover

V, 195 Seiten

1973 | 1973
Springer Berlin (Verlag)
978-3-540-06219-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	1.1.1973
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	V, 195 p.
Verlagsort	Berlin
Sprache	englisch
Maße	178 x 254 mm
Gewicht	810 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	arithmetic • Elliptic Curve • Integral • modular form • zeta function
ISBN-10	3-540-06219-X / 354006219X
ISBN-13	978-3-540-06219-6 / 9783540062196
Zustand	Neuware