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Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts
Published 31 Jan 2020 in math.NT | (2001.11776v1)
Abstract: Using the amplification technique, we prove that `mass' of the pullback of the Saito-Kurokawa lift of a Hecke eigen form $g\in S_{2k}$ is bounded by $k{1-\frac{1}{210}+\epsilon}$. This improves the previously known bound $k$ for this quantity.
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