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Modular forms and Hecke operators

By: Contributor(s): Material type: TextTextLanguage: English Series: Translations of mathematical monographs ; Vol. 145Publication details: Rhode Island American mathematical society 1995Description: vii, 334p. illISBN:
  • 0821802771 (HB)
Subject(s):
Contents:
1. Theta-series 2. Modular forms 3. Hecke rings 4. Hecke operators
Summary: 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.
Item type: BOOKS
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IMSc Library 511.38 AND (Browse shelf(Opens below)) Available 44958

Includes bibliography (p. 329-331) and references.

1. Theta-series
2. Modular forms
3. Hecke rings
4. Hecke operators

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.

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