Bessel periods and the non-vanishing of Yoshida lifts modulo a prime

被引：4

作者：

Hsieh, Ming-Lun ^{[1
,2
,3
]}

Namikawa, Kenichi ^{[4
]}

机构：

[1] Acad Sinica, Inst Math, Taipei 10617, Taiwan

[2] Natl Ctr Theoret Sci, Taipei, Taiwan

[3] Natl Taiwan Univ, Dept Math, Taipei, Taiwan

[4] Tokyo Denki Univ, Sch Engn, Dept Math, 5 Asahicho, Adachi City, Tokyo 1208551, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2017年 / 285卷 / 3-4期

关键词：

BLOCH-KATO CONJECTURE; THETA-SERIES; QUATERNION ALGEBRAS; FORMS; REPRESENTATIONS; VALUES;

D O I：

10.1007/s00209-016-1730-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit construction of vector-valued Yoshida lifts and derive a formula of the Bessel periods of Yoshida lifts, by which we prove the non-vanishing modulo a prime of Yoshida lifts attached to a pair of elliptic modular newforms. As a consequence, we obtain a new proof of the non-vanishing of Yoshida lifts.

引用

页码：851 / 878

页数：28

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