p-ADIC L-FUNCTIONS OF AUTOMORPHIC FORMS AND EXCEPTIONAL ZEROS

被引：0
|
作者：
Deppe, Holger [1 ]
机构：
[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany
来源：
DOCUMENTA MATHEMATICA | 2016年 / 21卷
关键词：
p-adic L-function; automorphic forms; exceptional zero conjecture; Mazur-Tate-Teitelbaum conjecture; MODULAR-FORMS; CURVES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct p-adic L-functions for automorphic representations of GL(2) of a number field F, and show that the corresponding p-adic L-function of a modular elliptic curve E over F has an extra zero at the central point for each prime above p at which E has split multiplicative reduction, a part of the exceptional zero conjecture.
引用
收藏
页码：689 / 734
页数：46
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