On a multiple Dirichlet series associated to binary cubic forms

被引：0

作者：

Lee, Eun Hye ^{[1
]}

Takloo-Bighash, Ramin ^{[2
]}

机构：

[1] SUNY Stony Brook, Dept Math, Room 4-117, Stony Brook, NY 11794 USA

[2] Univ Illinois, 851 S Morgan St,322 Sci & Engn Off M-C 249, Chicago, IL 60607 USA

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 238卷

关键词：

Multiple Dirichlet series; Prehomogeneous vector space; Binary cubic forms; Relative invariants; Domain of meromorphy; Functional equation; PREHOMOGENEOUS VECTOR-SPACES; ZETA-FUNCTIONS; EISENSTEIN SERIES;

D O I：

10.1016/j.jnt.2021.09.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct and study the analytic properties of a multiple Dirichlet series associated to the space of certain binary cubic forms. Using reduction theory, local Euler factor computation, a functional equation and convexity arguments, we prove that this multiple Dirichlet series can be meromorphically continued to the whole of C-2. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：535 / 556

页数：22

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