scientific article; zbMATH DE number 2005664

DOI10.1155/S1073792803131108zbMath1038.11035OpenAlexW1828922342MaRDI QIDQ4435779

Adam Logan, Henri Darmon

Publication date: 18 November 2003

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/s1073792803131108

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hilbert modular formsHeegner pointsBirch and Swinnerton-Dyer conjecturemodular elliptic curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (12)

On the Birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields ⋮ Characterization of special points of orthogonal symmetric spaces ⋮ Gross-Stark units and \(p\)-adic iterated integrals attached to modular forms of weight one ⋮ Darmon points on elliptic curves over number fields of arbitrary signature ⋮ Uniformization of modular elliptic curves via \(p\)-adic periods ⋮ Almost totally complex points on elliptic curves ⋮ Continued fractionsin $2$-stage Euclidean quadratic fields ⋮ The Riemann hypothesis for period polynomials of Hilbert modular forms ⋮ Periods of Modular GL₂-type Abelian Varieties and p-adic Integration ⋮ Elementary matrix decomposition and the computation of Darmon points with higher conductor ⋮ Quaternionic Manin symbols, Brandt matrices, and Hilbert modular forms ⋮ Algorithms for Chow-Heegner points via iterated integrals

This page was built for publication: