Heegner points and Eisenstein series

DOI10.1515/FORM.2011.041zbMath1282.11151arXiv0808.1476MaRDI QIDQ3106315

Nicolas Templier

Publication date: 20 December 2011

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1476

zbMATH Keywords

automorphic formsequidistributionimaginary quadratic fieldHeegner pointsL-functions

Mathematics Subject Classification ID

Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Zeta functions and (L)-functions of number fields (11R42) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Hecke-Petersson operators, differential operators (one variable) (11F25) Other analytic theory (11R47)

Related Items (2)

The average of the divisor function over values of a quadratic polynomial ⋮ Hybrid subconvexity for class group \(L \)-functions and uniform sup norm bounds of Eisenstein series

Cites Work

• Modular functions and the uniform distribution of CM points
• Fourier coefficients of modular forms of half-integral weight
• Heegner points and derivatives of \(L\)-series
• Hyperbolic distribution problems and half-integral weight Maass forms
• The subconvexity problem for Artin \(L\)-functions
• Mollification of the fourth moment of automorphic \(L\)-functions and arithmetic applications.
• Uniform distribution of Heegner points.
• Non-vanishing of class group \(L\)-functions at the central point.
• Class group \(L\)-functions
• Two non-vanishing theorems of special values of \(L\)-functions

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