The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II

Harcos, Gergely and Michel, Philippe (2006) The subconvexity problem for Rankin–Selberg L-functions and equidistribution of Heegner points. II. Inventiones mathematicae, 163 (3). pp. 581-655. ISSN 0020-9910 (print), 1432-1297 (online)

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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.

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