Subconvexity and equidistribution of Heegner points in the level aspect

DOI10.1112/S0010437X13007033zbMath1329.11046arXiv1206.3208OpenAlexW3106387648MaRDI QIDQ2841769

Matthew P. Young, Sheng-Chi Liu, Riad Masri

Publication date: 30 July 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3208

zbMATH Keywords

equidistributionHeegner pointssubconvexity\(L^4\) norm

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Related Items (16)

A symplectic restriction problem ⋮ Some recents advances on Duke’s equidistribution theorems ⋮ Hybrid subconvexity bounds for \(L \left( \frac{1}{2}, \mathrm{Sym}^2 f \otimes g\right) \) ⋮ Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves ⋮ Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets ⋮ Equidistribution in shrinking sets and \(L^4\)-norm bounds for automorphic forms ⋮ The quantum unique ergodicity conjecture for thin sets ⋮ Concentration of closed geodesics in the homology of modular curves ⋮ First moment of Rankin-Selberg central \(L\)-values and subconvexity in the level aspect ⋮ Explicit calculations with Eisenstein series ⋮ A generalized cubic moment and the Petersson formula for newforms ⋮ Quantum unique ergodicity for Eisenstein series in the level aspect ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ \(L^4\)-norms of Hecke newforms of large level ⋮ On the random wave conjecture for dihedral Maaß forms ⋮ \(L^4\)-norms of the holomorphic dihedral forms of large level

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