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Translations of Mathematical Monographs
1995; 334 pp; hardcover
List Price: US$129
Member Price: US$103.20
Order Code: MMONO/145
The concept of Hecke operators was so simple and natural that, soon after Hecke's work, scholars made the attempt to develop a Hecke theory for modular forms, such as Siegel modular forms.
As this theory developed, the Hecke operators on spaces of modular forms in several variables were found to have arithmetic meaning. Specifically, the theory provided a framework for discovering certain multiplicative properties of the number of integer representations of quadratic forms by quadratic forms.
Now that the theory has matured, the time is right for this detailed and systematic exposition of its fundamental methods and results.
It is the authors' intent that Modular Forms and Hecke Operators help attract young researchers to this beautiful and mysterious realm of number theory.
Researchers and graduate students working in algebra and number theory.
"Gives a comprehensive account of the theory of Hecke operators on Siegel modular forms, motivated by the applications to the theory of positive-definite quadratic forms. For those with this ... interest, it will be invaluable."
-- Bulletin of the London Mathematical Society
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