TRIPLE PRODUCT p-ADIC L-FUNCTIONS ASSOCIATED TO FINITE SLOPE p-ADIC FAMILIES OF MODULAR FORMS

被引：11

作者：

Andreatta, Fabrizio ^{[1
]}

Iovita, Adrian ^{[2
,3
]}

机构：

[1] Univ Milan, Dept Math, Milan, Italy

[2] Concordia Univ, Dept Math & Stat, Montreal, PQ, Canada

[3] Padova Univ, Dept Math, Padua, Italy

来源：

DUKE MATHEMATICAL JOURNAL | 2021年 / 170卷 / 09期

关键词：

overconvergent modular forms; de Rham cohomology; p-adic L-functions; overconvergent modular sheaves; vector bundles with marked sections; VALUES; CYCLES;

D O I：

10.1215/00127094-2020-0076

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a positive prime integer. We construct p-adic families of de Rham cohomology classes and therefore p-adic families of nearly overconvergent elliptic modular forms. As an application we define triple product p-adic L-functions attached to three finite slope families of modular forms satisfying certain assumptions.

引用

页码：1989 / 2083

页数：95

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