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- W2783279157 abstract "Let $Gammasubsetmathrm{PSL}_{2}(mathbb{R})$ be a Fuchsian subgroup of the first kind acting on the upper half-plane $mathbb{H}$. Consider the $d_{2k}$-dimensional space of cusp forms $mathcal{S}_{2k}^{Gamma}$ of weight $2k$ for $Gamma$, and let ${f_{1},ldots,f_{d_{2k}}}$ be an orthonormal basis of $mathcal{S}_{2k}^{Gamma}$ with respect to the Petersson inner product. In this paper we will give effective upper and lower bounds for the supremum of the quantity $S_{2k}^{Gamma}(z):=sum_{j=1}^{d_{2k}}vert f_{j}(z)vert^{2},mathrm{Im}(z)^{2k}$ as $z$ ranges through $mathbb{H}$." @default.
- W2783279157 created "2018-01-26" @default.
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- W2783279157 date "2018-01-17" @default.
- W2783279157 modified "2023-09-27" @default.
- W2783279157 title "Effective sup-norm bounds on average for cusp forms of even weight" @default.
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