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Full Description
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Contents
1. Introduction
2. Preliminaries
3. Field of uniformizers
4. Quasi-periodic functions, representations of the first kind
5. Structure results for modular forms
6. Differential operators on modular forms, Perkins' series
7. Eisenstein series for $\rho ^*_\Sigma $
8. Modular forms for the representations $\rho _\Sigma ^*$
9. Harmonic product and Eisenstein series
10. Perspectives on algebraic properties of Eisenstein series
