Valeur en $2$ de fonctions $L$ de formes modulaires de poids $2$ : théorème de Beilinson explicite

DOI10.24033/bsmf.2532zbMath1207.11059OpenAlexW2482993417MaRDI QIDQ3535774

François Brunault

Publication date: 14 November 2008

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/135/html/smf_bull_135_215-246.html

zbMATH Keywords

dilogarithmmodular formelliptic curve\(L\)-functionalgebraic \(K\)-theoryregulatormodular curvespecial valueBeilinson's conjecture

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Polylogarithms and relations with (K)-theory (11G55) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Related Items (4)

On the regulator formulas of Bertolini, Darmon and Rotger ⋮ Kernels of $L$-functions and shifted convolutions ⋮ Kato's Euler system and rational points on elliptic curves. I: A \(p\)-adic Beilinson formula ⋮ Beilinson-Flach elements and Euler systems I: Syntomic regulators and 𝑝-adic Rankin 𝐿-series

Cites Work

• Zagier's conjecture on \(L(E,2)\)
• Desingularization of two-dimensional schemes
• On an elliptic analogue of Zagier's conjecture
• Two theorems on modular curves
• Numerical verification of Beilinson's conjecture for K2 of hyperelliptic curves
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