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

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

2011-10-21

arxiv.org/abs/1110.4897v1

Mathematics

Number Theory

Scientific paper

Let $f$ be a Hecke--Maass cuspidal newform of square-free level $N$ and
Laplacian eigenvalue $\lambda$. It is shown that $\pnorm{f}_\infty
\ll_{\lambda,\epsilon} N^{1/6}+\epsilon} \pnorm{f}_2$ for any $\epsilon>0$.

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