论文标题
半融合体重自动形式的Voronoï总和
Voronoï summation for half-integral weight automorphic forms
论文作者
论文摘要
$ \ text {gl} _2 $的(Metaplect)双重封面的一般Voronoï求和公式是通过表示理论框架àlaIchino-templier得出的。该身份还经典地配制,并用于建立半融合权重模块化形式和maaß形式的伏旋求和公式。
A general Voronoï summation formula for the (metaplectic) double cover of $\text{GL}_2$ is derived via the representation theoretic framework à la Ichino--Templier. The identity is also formulated classically and used to establish Voronoï summation formulae for half-integral weight modular forms and Maaß forms.