The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II |
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| Authors: | Gergely Harcos Philippe Michel |
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| Institution: | (1) Mathematics Department, The University of Texas at Austin, 1 University Station C1200, Austin, TX 78712-0257, USA;(2) I3M, UMR CNRS 5149, Université Montpellier II CC 051, 34095 Montpellier Cedex 05, France |
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| Abstract: | We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated with two primitive holomorphic or Maass cusp forms over Q. We use this bound to establish the equidistribution of incomplete Galois orbits of Heegner points on Shimura curves associated
with indefinite quaternion algebras over Q.
Mathematics Subject Classification (2000) 11F66, 11F67, 11M41 |
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