论文标题
超越扩展的Selberg类：$ 1 <d_f <2 $
Beyond the extended Selberg class: $1<d_F< 2$
论文作者
论文摘要
我们表明，一类Dirichlet系列$ {\ Mathfrak {a}}^{\＃} $比扩展的Selberg类$ {\ Mathscr {\ Mathscr {s}}^{\＃} $大得多，并且还包含标准和外部$ $ $ l $ -functrict $ -functrict $ -functions $ -functions $ - $ gl_n $在数字字段上，没有任何元素在$ 1 $和$ 2 $之间的任何元素。我们更一般定理的证明与kaczorowski和perelli的证明$ {\ mathscr {s}}}^{\＃} $的证明，即使在这种情况下，也更短，更简单。
We show that a class of Dirichlet series ${\mathfrak{A}}^{\#}$ that is much larger than the extended Selberg class ${\mathscr{S}}^{\#}$, and also contains the standard as well as the tensor product, exterior square and symmetric square $L$-functions of automorphic $L$-functions of $GL_n$ over number fields, does not have any elements of degrees between $1$ and $2$. The proof of our more general theorem is very different from the proof of Kaczorowski and Perelli for the class ${\mathscr{S}}^{\#}$, and is much shorter and simpler even in that case.
