论文标题
$ p $ -adic hecke $ l $ l $ - 完全真实领域的总和表达式
Sum expressions for $p$-adic Hecke $L$-functions of totally real fields
论文作者
论文摘要
作为先前工作的延续，我们在Delbourgo的意义上建立了$ P $ -ADIC HECKE $ L $ l $ l $ functions，假设Heegner假设是一个真正的类似物。这是通过查找相应$ p $ - 亚法措施期间的明确公式来完成的。作为一个应用程序，我们将$ p $ -Adic $ l $ functions的衍生物的Ferrero-Greenberg公式扩展到此设置。
As a continuation of previous work, we establish sum expressions for $p$-adic Hecke $L$-functions of totally real fields in the sense of Delbourgo, assuming a totally real analog of Heegner hypothesis. This is done by finding explicit formulas of the periods of the corresponding $p$-adic measures. As an application, we extend the Ferrero-Greenberg formula of derivatives of $p$-adic $L$-functions to this setting.
