The basis problem for modular forms on [Gamma]o(N) / [electronic resource] Hiroaki Hijikata, Arnold K. Pizer, and Thomas R. Shemanske.

By: Hijikata, Hiroaki, 1936-Contributor(s): Pizer, Arnold K, 1944- | Shemanske, Thomas R, 1952-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 418Publication details: Providence, R.I., USA : American Mathematical Society, 1989Description: 1 online resource (vi, 159 p. : ill.)ISBN: 9781470408411 (online)Subject(s): Forms, Modular | Quaternions | Functions, ZetaAdditional physical formats: basis problem for modular forms on [Gamma]o(N) /DDC classification: 510 s | 512/.73 LOC classification: QA3 | .A57 no. 418 | QA243Online resources: Contents | Contents
Contents:
Introduction 1. Preliminaries 2. The trace formula for Hecke operators 3. Twisting newforms 4. Theta series 5. A representation-theoretic definition of Brandt matrices 6. Trace identities 7. Cuspidal theta series and newforms 8. The basis problem 9. Connections with representation theory 10. Examples
Item type: E-BOOKS
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Link to resource Available EBK12871

"November 1989, volume 82, number 418 (end of volume)."

Includes bibliographical references (p. 157-159)

Introduction 1. Preliminaries 2. The trace formula for Hecke operators 3. Twisting newforms 4. Theta series 5. A representation-theoretic definition of Brandt matrices 6. Trace identities 7. Cuspidal theta series and newforms 8. The basis problem 9. Connections with representation theory 10. Examples

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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