English

Restriction of Hecke eigenforms to horocycles

Number Theory 2017-05-08 v1

Abstract

We prove a sharp upper bound on the L2L^2-norm of Hecke eigenforms restricted to a horocycle, as the weight tends to infinity.

Cite

@article{arxiv.1705.02080,
  title  = {Restriction of Hecke eigenforms to horocycles},
  author = {Ho Chung Siu and Kannan Soundararajan},
  journal= {arXiv preprint arXiv:1705.02080},
  year   = {2017}
}
R2 v1 2026-06-22T19:37:49.879Z