On the sup-norm of Maass cusp forms of large level. III

2011/10/21 by Gergely Harcos, Harcos, Gergely, Nicolas Templier +1
Mathematics · #Analytic Number Theory Research #Advanced Algebra and Geometry #Advanced Mathematical Identities

paper · doi:10.48550/arxiv.1110.4897

Abstract

Let f be a Hecke--Maass cuspidal newform of square-free level N and Laplacian eigenvalue λ. It is shown that \pnormf_∞ ≪_λ,ε N^-1/6+ε \pnormf₂ for any ε>0.

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