Heegner points and derivatives ofL-series

1986/06/01 by Benedict H. Gross, Don Zagier, Don B. Zagier · 29 citations
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Mathematics #Pure mathematics #Series (stratigraphy)

paper · doi:10.1007/bf01388809

crossref issued 1986/06/01 · crossref published 1986/06/01 · crossref published-print 1986/06/01 · openalex publication_date 1986/06/01 · crossref created 2005/04/02 · crossref deposited 2019/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23 · crossref indexed 2026/07/31

Citations

• The arithmetic of elliptic curves
• �ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Good Reduction of Abelian Varieties

Cited by

• Heegner Points: The Beginnings
• The Gross–Kohnen–Zagier theorem over totally real fields
• Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)
• The ?main conjectures? of iwasawa theory for imaginary quadratic fields
• Nuclei, Primes and the Random Matrix Connection
• A unitary test of the Ratios Conjecture
• FINITENESS OF E(Q) AND \textrmØ(E,Q) FOR A SUBCLASS OF WEIL CURVES
• Class numbers of imaginary quadratic fields
• On the low-lying zeros of Hasse–Weil L-functions for elliptic curves
• Twisted traces of CM values of weak Maass forms
• Pariah moonshine
• Rational spanning sets of level-one cusp forms from Eisenstein series at prime levels
• Singular moduli of higher level and special cycles
• Symmetries for Siegel Theta Functions, Borcherds Lifts and Automorphic Green Functions
• The -adic Gross–Zagier formula on Shimura curves
• Correspondences in Arakelov geometry and applications to the case of Hecke operators on modular curves
• Ramanujan series for Epstein zeta functions
• Arithmetic intersection on GSpin Rapoport–Zink spaces
• ON THE NON-VANISHING OF ELLIPTIC CURVE L-FUNCTIONS AT THE CENTRAL POINT
• MANY CUBIC SURFACES CONTAIN RATIONAL POINTS
• On the 2-divisibility of certain Heenger points
• On the p-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields
• SOLUTIONS OF THE CUBIC FERMAT EQUATION IN QUADRATIC FIELDS
• Three consecutive almost squares
• p-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
• Heights of Kudla–Rapoport divisors and derivatives of L L -functions
• Birch and Swinnerton-Dyer conjecture [wikipedia]
• Heegner point [wikipedia]
• Stark–Heegner theorem [wikipedia]