Publication details for Pankaj VisheTanis, J. & Vishe, P. (2015). Uniform Bounds for Period Integrals and Sparse Equidistribution. International Mathematics Research Notices 2015(24): 13728-13756.
- Publication type: Journal Article
- ISSN/ISBN: 1073-7928, 1687-0247
- DOI: 10.1093/imrn/rnv115
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
Let M=Γ∖PSL(2,R) be a compact manifold, and let f∈C∞(M) be a function of zero average. We use spectral methods to get uniform (i.e., independent of spectral gap) bounds for twisted averages of f along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on M.