Hecke fields of Hilbert modular analytic families

被引：6
|
作者：
Hida, Haruzo [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
AUTOMORPHIC FORMS AND RELATED GEOMETRY: ASSESSING THE LEGACY OF I.I. PIATETSKI-SHAPIRO | 2014年 / 614卷
关键词：
ADIC L-FUNCTIONS;
D O I：
10.1090/conm/614/12251
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Take a non CM p-slope 0 analytic family of Hilbert modular forms of level np(infinity) for a prime p of the base totally real field F. We prove that the Hecke field over Q[u(p)infinity] of members of the family grows indefinitely large over any infinite set of arithmetic points with fixed weight. The condition: p > 2 made in [H11] for F = Q is also eliminated in this paper for the assertion.
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页码：97 / 137
页数：41
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