Non-cuspidal Bianchi modular forms and Katz p-adic L-functions

被引：0

作者：

Palacios, Luis Santiago ^{[1
]}

机构：

[1] Univ Chile, Fac Ciencias, Dept Matemat, Las Palmeras 3425, Santiago, Chile

来源：

MATHEMATISCHE ZEITSCHRIFT | 2025年 / 309卷 / 04期

关键词：

CM modular forms; Base change; Non-cuspidal Bianchi modular forms; <italic>p</italic>-adic <italic>L</italic>-functions; Katz <italic>p</italic>-adic <italic>L</italic>-functions; CRITICAL-VALUES; SERIES;

D O I：

10.1007/s00209-025-03694-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be an imaginary quadratic field. In this article, we construct p-adic L-functions of non-cuspidal Bianchi modular forms by introducing the notions of C-cuspidality and partial Bianchi modular symbols. When p splits in K, we focus on p-adic L-functions of non-cuspidal base change Bianchi modular forms, showing that they factor as products of two Katz p-adic L-functions.

引用

页数：27

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