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arXiv · 1506.05534

Effective equidistribution of shears and applications

Dubi Kelmer·Alex Kontorovich
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Abstract

A "shear" is a unipotent translate of a cuspidal geodesic ray in the quotient of the hyperbolic plane by a non-uniform discrete subgroup of PSL(2,R), possibly of infinite co-volume. We prove the regularized equidistribution of shears under large translates with effective (that is, power saving) rates. We also give applications to weighted second moments of GL(2) automorphic L-functions, and to counting lattice points on locally affine symmetric spaces.

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Dubi Kelmer, Alex Kontorovich. 2015-06-18. Effective equidistribution of shears and applications. https://arxiv.org/abs/1506.05534

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