scientific article; zbMATH DE number 2226446
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Publication:5703397
zbMath1157.11310arXivmath/0310162MaRDI QIDQ5703397
Publication date: 8 November 2005
Full work available at URL: https://arxiv.org/abs/math/0310162
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(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Modular and Shimura varieties (14G35) Algebraic cycles (14C25) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)
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Further refinement of strong multiplicity one for GL(2) ⋮ Estimate of periods on Hirzebruch-Zagier cycles ⋮ Recent progress on the Tate conjecture ⋮ Determination of cusp forms on \(\mathrm{GL}(2)\) by coefficients restricted to quadratic subfields (with an appendix by Dipendra Prasad and Dinakar Ramakrishnan) ⋮ Automorphic tensor products and cuspidal cohomology of the GL4 ⋮ A conjecture on Whittaker-Fourier coefficients of cusp forms ⋮ Tate classes and \(L\)-functions on a product of a quaternionic Shimura surface and a Picard modular surface ⋮ Oddness of residually reducible Galois representations ⋮ On \(L\)-functions of twisted 4-dimensional quaternionic Shimura varieties ⋮ On the size of Satake parameters for unitary cuspidal automorphic representations for \(\mathrm{GL}(4)\) ⋮ A rank inequality for the Tate conjecture over global function fields ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\)
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