On Shimura, Shintani and Eichler-Zagier correspondences

被引：31

作者：

Manickam, M ^{[1
]}

Ramakrishnan, B

机构：

[1] RKM Vivekananda Coll, Dept Math, Mylapore 600004, Chennai, India

[2] Mehta Res Inst Math & Math Phys, Allahabad 211019, Uttar Pradesh, India

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 06期

关键词：

Jacobi forms; modular forms of half-integral weight; newforms;

D O I：

10.1090/S0002-9947-00-02423-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we set up Shimura and Shintani correspondences between Jacobi forms and modular forms of integral weight for arbitrary level and character, and generalize the Eichler-Zagier isomorphism between Jacobi forms and modular forms of half-integral weight to higher levels. Using this together with the known results, we get a strong multiplicity 1 theorem in certain cases for both Jacobi cusp newforms and half-integral weight cusp newforms. As a consequence, we get, among other results, the explicit Waldspurger theorem.

引用

页码：2601 / 2617

页数：17