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On the standard L-function attached to quaternionic modular forms.
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-12-30 , DOI: 10.1016/j.jnt.2020.10.024 Thanasis Bouganis
中文翻译:
在标准L功能上附加到四元离子模块化形式。
更新日期:2020-12-30
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-12-30 , DOI: 10.1016/j.jnt.2020.10.024 Thanasis Bouganis
In this paper we study the analytic properties of the standard L-function attached to vector valued quaternionic modular forms using the Rankin-Selberg method. This involves the construction of vector valued theta series, which we obtain by applying some differential operators on Jacobi-theta series studied by Krieg. Such differential operators are obtained from the Howe-Weyl duality for the pair .
中文翻译:
在标准L功能上附加到四元离子模块化形式。
在本文中,我们使用Rankin-Selberg方法研究了附加到矢量值四元离子模块形式上的标准L函数的解析性质。这涉及向量值theta级数的构造,我们通过在Krieg研究的Jacobi-theta级数上应用一些微分算子来获得。这样的微分算子是从对的Howe-Weyl对偶获得的。