Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz.
This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of e...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1991 |
| Year of Publication: | 2016 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
124 |
| Online Access: | |
| Physical Description: | 1 online resource (448 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Introduction
- CHAPTER 1. Results from Representation Theory
- CHAPTER 2. D.E.'s and D-modules
- CHAPTER 3. The Generalized Hypergeometric Equation
- CHAPTER 4. Detailed Analysis of the Exceptional Cases
- CHAPTER 5. Convolution of D-modules
- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics
- CHAPTER 7. The ℓ- adic Theory
- CHAPTER 8. ℓ-adic Hypergeometrics
- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics
- CHAPTER 10. ℓ -adic Exceptional Cases
- CHAPTER 11. Reductive Tannakian Categories
- CHAPTER 12. Fourier Universality
- CHAPTER 13. Stratifications and Convolution
- CHAPTER 14. The Fundamental Comparison Theorems
- References