L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts
L-Series of Harmonic Maass Forms and a Summation Formula for Harmonic Lifts
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DOI：
10.1093/imrn/rnac310
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发表时间：
2021-07
影响因子：
1
通讯作者：
N. Diamantis;Min Ho Lee;W. Raji;Larry Rolen
中科院分区：
文献类型：
--
作者：
N. Diamantis;Min Ho Lee;W. Raji;Larry Rolen
介绍了一类与调和质量形式相关的L -级数，并证明了它们的泛函方程。我们建立了这些L -级数的逆定理，作为一个应用，我们给出并证明了一个给定尖形调和升的全纯部分的求和公式。
We introduce an $L$-series associated with harmonic Maass forms and prove their functional equations. We establish converse theorems for these $L$-series and, as an application, we formulate and prove a summation formula for the holomorphic part of a harmonic lift of a given cusp form.