关于三积L函数相关系数的平均行为

IF 0.5 Q3 MATHEMATICS

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI Pub Date : 2022-01-01 DOI:10.7169/facm/2046

K. Venkatasubbareddy, S. Ayyadurai

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引用次数: 2

摘要

本文研究了全模群SL (2, z)的三积l函数和权为k的归一化原始全纯尖形f (z)对应的一些相关l函数的系数的平均性质。如果f (z)同时是所有Hecke算子的函数，我们称它为原始顶点形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the average behavior of coefficients related to triple product $L$-functions

In this paper, we study the average behaviour of the coeﬃcients of triple product L-functions and some related L-functions corresponding to normalized primitive holomorphic cusp form f ( z ) of weight k for the full modular group SL (2 , Z ) . Here we call f ( z ) a primitive cusp form if it is an eighenfunction of all Hecke operators simultane-ously.

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来源期刊

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI MATHEMATICS-

CiteScore

0.80

自引率

20.00%

发文量