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The \(U_p\)-operator of Atkin on modular functions of level three

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Publication:1138053
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zbMath0431.14006MaRDI QIDQ1138053

Alan Adolphson

Publication date: 1980

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

elliptic curvesHasse invariantspace of cusp formsDwork's theoryeigenvalues of p-th Hecke operatormodular functions of level three


Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Local ground fields in algebraic geometry (14G20) (p)-adic theory, local fields (11F85) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic differential equations (12H25)


Related Items

\(p\)-adic Banach spaces and families of modular forms ⋮ Une introduction naïve aux cohomologies de Dwork ⋮ \(L\)-functions associated with families of toric exponential sums ⋮ Classical and overconvergent modular forms ⋮ Hasse–Witt and Cartier–Manin matrices: A warning and a request



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