论文标题
大型Hecke特征值和非斋藤的欧米茄结果
Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts
论文作者
论文摘要
我们证明了hecke eigenvalues的分布，$μ_f（p^r）$（$ r = 1,2 $或$ 3 $）的非saito-kurokawa-kurokawa lift $ f $ a $ 2 $。结果，我们为这种$ f $获得了Hecke特征值的欧米茄结果，这在数量级方面是最好的。
We prove a result on the distribution of Hecke eigenvalues, $μ_F(p^r)$ (for $r=1,2$ or $3$) of a non Saito--Kurokawa lift $F$ of degree $2$. As a consequence, we obtain an Omega result for the Hecke eigenvalues for such an $F$, which is the best possible in terms of orders of magnitude.
