论文标题
塞托 - 川川升降机的彼得森省范围的界限
Bounds for the Petersson norms of the pullbacks of Saito-Kurokawa lifts
论文作者
论文摘要
使用放大技术,我们证明了s_ {2k} $ in s_ {2k} $的Hecke eigen form $ g \ saito-kurokawa升力的“质量”由$ k^{1- \ frac {1} {1} {210} {210} {210}+ε} $。这改善了此数量的先前已知的$ k $。
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 $k^{1-\frac{1}{210}+ε}$. This improves the previously known bound $k$ for this quantity.