The Rankin's \(L\)-function and Heegner points for general discriminants

DOI10.3792/pjaa.71.30zbMath0853.11041OpenAlexW2077726329MaRDI QIDQ1898235

Yoshiki Hayashi

Publication date: 9 January 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.30

zbMATH Keywords

imaginary quadratic fieldmodular curveHeegner pointheight pairingRankin's \(L\)-function

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (5)

Higher-Weight Heegner Points ⋮ The congruent number problem and elliptic curves ⋮ Heegner points and the arithmetic of elliptic curves over ring class extensions ⋮ The Gross-Kohnen-Zagier theorem in higher dimensions ⋮ Regulators of rank one quadratic twists

Cites Work

• Heegner points and derivatives of \(L\)-series
• Sur les coefficients de Fourier des formes modulaires de poids demi-entier
• Shimura and Shintani correspondences
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