论文标题
$ l $ - 弱塑形尖的衍生物形式
Derivatives of $L$-series of weakly holomorphic cusp forms
论文作者
论文摘要
基于$ l $ series的理论,与\ cite {dlrr}相关的弱塑形模块化形式相关,我们为$ l $ series的衍生品的中心值得出了$ l $ series的中心值的显式公式,作为在上半平面内部限制的积分。这具有计算优势,在经典的全态尖端形式的情况下,在最后一部分中,我们讨论了计算方面和明确的例子。
Based on the theory of $L$-series associated with weakly holomorphic modular forms in \cite{DLRR}, we derive explicit formulas for central values of derivatives of $L$-series as integrals with limits inside the upper half-plane. This has computational advantages, already in the case of classical holomorphic cusp forms and, in the last section, we discuss computational aspects and explicit examples.