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.
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Featuring extensive research in both pure and applied mathematics, this series gathers grouped studies into cohesive, book-length formats. Guided by the Editorial Committee of the AMS Transactions, every paper undergoes rigorous peer review to ensure scholarly depth and enduring insight in the mathematical sciences.
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  • 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
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    Product details

    ISBN
    9781470475796
    Published
    2025-08-19
    Publisher
    American Mathematical Society
    Height
    254 mm
    Width
    178 mm
    Age
    P, 06
    Language
    Product language
    Engelsk
    Format
    Product format
    Heftet
    Number of pages
    168

    Biographical note

    Federico Pellarin, Universita Sapienza, Rome, Italy.