Sur le rang des courbes elliptiques sur les corps de classes de Hilbert (Q5199358)

scientific article; zbMATH DE number 5938391

Language	Label	Description	Also known as
English	Sur le rang des courbes elliptiques sur les corps de classes de Hilbert	scientific article; zbMATH DE number 5938391

Statements

instance of

scholarly article

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title

Sur le rang des courbes elliptiques sur les corps de classes de Hilbert (English)

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author

Nicolas Templier

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published in

Compositio Mathematica

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publication date

16 August 2011

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zbMATH Keywords

automorphic forms

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equidistribution

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$L$-functions

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Heegner points

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elliptic curves

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MaRDI profile type

MaRDI publication profile

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cites work

Galois conjugacy of unramified twists of Hecke characters

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The non-vanishing of certain Hecke $L$-functions at the center of the critical strip

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Asymptotic behaviour for the averaged height of Heegner points

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Non-triviality of Heegner points

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Mazur's conjecture on higher Heegner points.

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Relating invariant linear form and local epsilon factors via global methods. (With an appendix by Hiroshi Saito)

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Nonvanishing theorems for L-functions of modular forms and their derivatives

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Independence of points on elliptic curves arising from special points on modular and Shimura curves. I: Global results

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On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises

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Mean values of derivatives of modular $L$-series

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Non-triviality of CM points in ring class field towers. With an appendix by Christophe Cornut.

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On the L-functions of canonical Hecke characters of imaginary quadratic fields. II

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Q3378997

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Gross-Zagier formula for $\text{GL}_ 2$.

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The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points

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Heights of Heegner points on Shimura curves.

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Arithmetic of Weil curves

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Equidistribution of small points on abelian varieties

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Modular elliptic curves and Fermat's Last Theorem

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Special values of anticyclotomic $L$-functions.

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Positivity and discretion of algebraic points of curves

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Local ε-Factors and Characters of GL(2)

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On the order of vanishing of modular $L$-functions at the critical point

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Heegner points and derivatives of $L$-series

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Lower bounds for ranks of elliptic curves

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Test vectors for linear forms

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Local Orders, Root Numbers, and Modular Curves

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Ring-theoretic properties of certain Hecke algebras

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Class group $L$-functions

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Equidistribution of small points

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Hyperbolic distribution problems and half-integral weight Maass forms

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The Arithmetic of Elliptic Curves

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On the independence of Heegner points associated to distinct quadratic imaginary fields

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Integration on ${\mathcal H_p}\times\mathcal H$ and arithmetic applications.

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On the L-functions of canonical Hecke characters of imaginary quadratic fields

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Hauteur asymptotique des points de Heegner

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Identifiers

zbMATH Open document ID

1276.11096

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DOI

10.1112/S0010437X10005051

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5199358