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Toric Periods and $p$-adic Families of Modular Forms of Half-Integral Weight
| Softcover ISBN: | 978-1-4704-6550-6 |
| Product Code: | MEMO/289/1438 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7593-2 |
| Product Code: | MEMO/289/1438.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6550-6 |
| eBook: ISBN: | 978-1-4704-7593-2 |
| Product Code: | MEMO/289/1438.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Toric Periods and $p$-adic Families of Modular Forms of Half-Integral Weight
| Softcover ISBN: | 978-1-4704-6550-6 |
| Product Code: | MEMO/289/1438 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-7593-2 |
| Product Code: | MEMO/289/1438.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6550-6 |
| eBook ISBN: | 978-1-4704-7593-2 |
| Product Code: | MEMO/289/1438.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 289; 2023; 95 ppMSC: Primary 11
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Table of Contents
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Chapters
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Introduction
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1. Part 1: Global periods: Fourier coefficients of half-integer weight forms
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1. Preliminaries
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2. Classical and automorphic forms of half-integer weight
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3. Fourier coefficients of modular forms of half-integer weight
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2. Part 2: Interpolation of the Fourier coefficients
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4. Preliminaries and the basic formula
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5. $\widetilde \Lambda $-adic Waldspurger packets, and non-vanishing of the $\widetilde \Lambda $-adic lift.
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6. Specialization to trivial character, and the trivial zero
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3. Part 3: Local periods: test vectors
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7. Preliminaries and statement of results
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8. $K$-types and the principal series
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9. The depth zero supercuspidal representations of $GL_2({\mathbf {Q}}_p)$.
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 289; 2023; 95 pp
MSC: Primary 11
-
Chapters
-
Introduction
-
1. Part 1: Global periods: Fourier coefficients of half-integer weight forms
-
1. Preliminaries
-
2. Classical and automorphic forms of half-integer weight
-
3. Fourier coefficients of modular forms of half-integer weight
-
2. Part 2: Interpolation of the Fourier coefficients
-
4. Preliminaries and the basic formula
-
5. $\widetilde \Lambda $-adic Waldspurger packets, and non-vanishing of the $\widetilde \Lambda $-adic lift.
-
6. Specialization to trivial character, and the trivial zero
-
3. Part 3: Local periods: test vectors
-
7. Preliminaries and statement of results
-
8. $K$-types and the principal series
-
9. The depth zero supercuspidal representations of $GL_2({\mathbf {Q}}_p)$.
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.