# Restriction of Hecke eigenforms to horocycles

## TL;DR

This paper establishes a precise upper bound on the L^2-norm of Hecke eigenforms when restricted to a horocycle, especially as the eigenform's weight increases.

## Contribution

It provides a sharp upper bound on the restriction of Hecke eigenforms to horocycles, advancing understanding of their behavior at high weights.

## Key findings

- Established a sharp upper bound on L^2-norms
- Analyzed eigenform behavior as weight tends to infinity
- Contributed to spectral theory of automorphic forms

## Abstract

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