The Analytic Theory of Vectorial Drinfeld Modular Forms

Federico Pellarin (Autor)

Buch | Softcover

168 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7579-6 (ISBN)

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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.

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.

Federico Pellarin, Universita Sapienza, Rome, Italy.

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

Erscheinungsdatum	25.09.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7579-0 / 1470475790
ISBN-13	978-1-4704-7579-6 / 9781470475796
Zustand	Neuware