Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas : : (AMS-212) / / Daniel Kriz.
A groundbreaking contribution to number theory that unifies classical and modern resultsThis book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus. The main novelty is to move to infinite level and extend coefficients...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2021 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©2021 |
| Year of Publication: | 2021 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
405 |
| Online Access: | |
| Physical Description: | 1 online resource (280 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Preliminaries: Generalities
- 3 Preliminaries: Geometry of the infinite-level modular curve
- 4 The fundamental de Rham periods
- 5 The p-adic Maass-Shimura operator
- 6 P-adic analysis of the p-adic Maass-Shimura operators
- 7 Bounding periods at supersingular CM points
- 8 Supersingular Rankin-Selberg p-adic L-functions
- 9 The p-adic Waldspurger formula
- Bibliography
- Index