Families of modular forms (Q1826278)
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scientific article; zbMATH DE number 2081346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Families of modular forms |
scientific article; zbMATH DE number 2081346 |
Statements
Families of modular forms (English)
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5 August 2004
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The author gives a down-to-earth introduction to the theory of \(p\)-adic families of modular forms, and presents an elementary proof of \textit{D. Wan}'s result [Invent. Math. 133, No.~2, 449--463 (1998; Zbl 0907.11016)] that the Newton polygon of the \(U_p\)-operator acting on \(S_k(\Gamma_1(N_p))\) is bounded below by an explicit quadratic lower bound which is independent of \(k\) (Theorem 3).
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\(p\)-adic family of modular forms
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\(U_p\) operator
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Newton polygon
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