Modular representations of \(\text{PGL}_ 2\) and automorphic forms for Shimura curves
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Publication:1319236
DOI10.1007/BF01244318zbMath0806.11027OpenAlexW2044428186MaRDI QIDQ1319236
Publication date: 20 February 1995
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/144137
infinite dimensional representations\(p\)-adic Poisson kernel\(p\)-adic properties of modular forms on Shimura curves
Congruences for modular and (p)-adic modular forms (11F33) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
- Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
- On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
- Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
- The cohomology of local systems on \(p\)-adically uniformized varieties
- Modular curves and the Eisenstein ideal
- The cohomology of \(p\)-adic symmetric spaces
- On Drinfeld's universal formal group over the \(p\)-adic upper half plane
- Eichler cohomology and periods of modular forms on p-adic Schottky groups.
- The Poisson Kernel for Drinfeld Modular Curves
