Automorphic forms, definite quaternion algebras, and Atkin-Lehner theory on trees

DOI10.1006/JNTH.2000.2570zbMath1010.11027OpenAlexW2072703652MaRDI QIDQ5929404

John A. Rhodes

Publication date: 18 June 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2570

zbMATH Keywords

\(p\)-adic \(L\)-series\(p\)-adic upper half-plane\(p\)-adic-valued functionAtkin Lehner theoryautomorphic formsMumford curvenewforms

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Automorphic forms, one variable (11F12)

Related Items (1)

Approximations of the balanced triple product \(p\)-adic \(L\)-function

Cites Work

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• Values of \(p\)-adic \(L\)-functions and a \(p\)-adic Poisson kernel
• Arithmétique des algèbres de quaternions
• Schottky groups and Mumford curves
• Twists of newforms and pseudo-eigenvalues of \(W\)-operators
• Newforms and functional equations
• On Dirichlet series and abelian varieties attached to automorphic forms
• Hecke operators on \(\Gamma_0(m)\)
• On zeta functions of quaternion algebras
• Eichler-Shimura Homology, Intersection Numbers and Rational Structures on Spaces of Modular Forms
• Eichler cohomology and periods of modular forms on p-adic Schottky groups.
• ELLIPTIC MODULES
• UNIFORMIZATION OF ALGEBRAIC CURVES BY DISCRETE ARITHMETIC SUBGROUPS OF $ PGL_2(k_w)$ WITH COMPACT QUOTIENTS
• p-Adic Hyperbolic Planes and Modular Forms

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