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arxiv: 1705.02080 · v1 · pith:KA7Q7H62new · submitted 2017-05-05 · 🧮 math.NT

Restriction of Hecke eigenforms to horocycles

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

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