Triple product \(p\)-adic \(L\)-function attached to \(p\)-adic families of modular forms (Q2083528)
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scientific article; zbMATH DE number 7599292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Triple product \(p\)-adic \(L\)-function attached to \(p\)-adic families of modular forms |
scientific article; zbMATH DE number 7599292 |
Statements
Triple product \(p\)-adic \(L\)-function attached to \(p\)-adic families of modular forms (English)
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11 October 2022
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\textit{M.-L. Hsieh} constructed the three-variable \(p\)-adic \(L\)-functions attached to Hida families of elliptic newforms and proved interpolation formulas [Am. J. Math. 143, No. 2, 411--532 (2021; Zbl 1470.11115)]. The author generalizes his result in the unbalanced case and constructs a three-variable triple product \(p\)-adic \(L\)-function attached to a primitive Hida family and two more general \(p\)-adic families of modular forms (Coleman families and CM-families).
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triple product \(L\)-functions
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\(p\)-adic families of modular forms
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Hida families
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CM-families
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Coleman families
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zeta integrals
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