On the invariants of L-functions of degree 2, I: Twisted degree and internal shift

被引：0

作者：

Kaczorowski, Jerzy ^{[1
]}

Perelli, Alberto ^{[2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2024年 / 20卷 / 10期

关键词：

Twists by Dirichlet characters; Selberg class; invariants of L-functions; converse theorems; SELBERG CLASS; RESONANCE;

D O I：

10.1142/S1793042124501215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This is the first part of a series of papers where the behavior of the invariants under twist by Dirichlet characters is studied for L-functions of degree 2. Here we show, under suitable conditions, that degree and internal shift remain unchanged under twist. The ultimate goal of the series is to prove a general version of Weil converse theorem with minimal assumptions on the shape of the functional equation of the twists.

引用

页码：2529 / 2541

页数：13

共 12 条

[1]

Iwaniec, 1997, GRAD STUD MATH, V17

[2]

Iwaniec H., 1993, DUKE MATH J, V72, P673

[3] On the structure of the Selberg class, I:: 0 ≤ d ≤ 1 [J].