p-adic distributions associated to Heegner points on modular curves

DOI10.1007/BF01162249zbMath0616.14024MaRDI QIDQ1821164

Winfried Kohnen

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173847

zbMATH Keywords

rational pointsHeegner pointsmodular curveMellin-Mazur transformp-adic distribution

Mathematics Subject Classification ID

Rational points (14G05) Arithmetic ground fields for curves (14H25) Elliptic curves (14H52) Local ground fields in algebraic geometry (14G20) Cyclotomic extensions (11R18) Automorphic forms, one variable (11F12) Zeta functions and (L)-functions (11S40)

Related Items (1)

Congruences for periods of modular forms

Cites Work

• On \(L\)-functions of elliptic curves and cyclotomic towers
• On \(L\)-functions of elliptic curves and anticyclotomic towers
• Heegner points and derivatives of \(L\)-series
• Arithmetic of Weil curves
• Arithmétique des courbes elliptiques et théorie d'Iwasawa
• THE ZETA-FUNCTION OF ELLIPTIC CURVES OVER CERTAIN ABELIAN EXTENSIONS OF IMAGINARY QUADRATIC FIELDS
• PERIODS OF PARABOLIC FORMS AND $ p$-ADIC HECKE SERIES
• On the Birch and Swinnerton-Dyer conjecture
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