Non-vanishing of derivatives of L-functions of Hilbert modular forms in the critical strip

被引：0

作者：

Hamieh, Alia ^{[1
]}

Raji, Wissam ^{[2
]}

机构：

[1] Univ Northern British Columbia, Dept Math & Stat, Prince George, BC V2N 4Z9, Canada

[2] Amer Univ Beirut, Dept Math, POB 11-0236, Beirut 11072020, Lebanon

来源：

RESEARCH IN NUMBER THEORY | 2021年 / 7卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Hilbert modular forms; Derivatives of L-functions; Non-vanishing of L-functions;

D O I：

10.1007/s40993-021-00248-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that, on average, the derivatives of L-functions of cuspidal Hilbert modular forms with sufficiently large parallel weight k do not vanish on the line segments I(s) = t(0), R(s) is an element of (k-1/2, k/2 - epsilon) boolean OR (k/2 + epsilon, k+1/2). This is analogous to the case of classical modular forms.

引用

页数：11

共 7 条

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