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.

引用

页码：97 / 137

页数：41

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