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Heegner points and Eisenstein series
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Nicolas Templier
Published/Copyright:
June 27, 2010
Abstract
We give an alternative computation of the twisted second moment of critical values of class group L-functions attached to an imaginary quadratic field. The method avoids long calculations and yields the polynomial growth in the s-parameter for the remaining term.
Keywords.: Automorphic forms; equidistribution; L-functions; imaginary quadratic field; Heegner points
Received: 2008-08-01
Revised: 2009-12-17
Published Online: 2010-06-27
Published in Print: 2011-November
© de Gruyter 2011
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Articles in the same Issue
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
Keywords for this article
Automorphic forms;
equidistribution;
L-functions;
imaginary quadratic field;
Heegner points
Articles in the same Issue
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
