Quadratic modular symbols on Shimura curves

DOI10.5802/jtnb.835zbMath1295.11052arXiv1112.5645OpenAlexW2094633095MaRDI QIDQ394257

Iván Blanco-Chacón, Pilar Bayer

Publication date: 24 January 2014

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5645

zbMATH Keywords

\(L\)-functionShimura curvemodular symbol

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Arithmetic aspects of modular and Shimura varieties (11G18)

Uses Software

• ecdata

Cites Work

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• On \(p\)-adic analogues of the conjectures of Birch and Swinnerton-Dyer
• Arithmetic Fuchsian groups with signature \((1;e)\)
• L-functions and division towers
• Arithmétique des algèbres de quaternions
• Quadratic modular symbols
• Construction of class fields and zeta functions of algebraic curves
• Automorphic forms on GL (2)
• Quaternion Orders, Quadratic Forms, and Shimura Curves
• Schwarzian differential equations and Hecke eigenforms on Shimura curves
• Overconvergent modular symbols and $p$-adic $L$-functions
• PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES

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