Bruinier / Ranestad / van der Geer The 1-2-3 of Modular Forms

Lectures at a Summer School in Nordfjordeid, Norway
1. Auflage 2008
ISBN: 978-3-540-74119-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 266 Seiten, eBook

Reihe: Universitext

This book grew out of three series of lectures given at the summer school on 'Modular Forms and their Applications' at the Sophus Lie Conference Center in Nordfjordeid in June 2004. The first series treats the classical one-variable theory of elliptic modular forms. The second series presents the theory of Hilbert modular forms in two variables and Hilbert modular surfaces. The third series gives an introduction to Siegel modular forms and discusses a conjecture by Harder. It also contains Harder's original manuscript with the conjecture.

Each part treats a number of beautiful applications.

Zielgruppe

Graduate

Autoren/Hrsg.

Bruinier, Jan Hendrik

Geer, Gerard Van Der

Harder, Günter

Zagier, Don

Ranestad, Kristian

Inhaltsverzeichnis

Elliptic Modular Forms and Their Applications.- Hilbert Modular Forms and Their Applications.- Siegel Modular Forms and Their Applications.- Congruence Between a Siegel and an Elliptic Modular Form.