MOCK MODULAR FORMS AS p-ADIC MODULAR FORMS

被引：6

作者：

Bringmann, Kathrin ^{[1
]}

Guerzhoy, Pavel ^{[2
]}

Kane, Ben ^{[1
]}

机构：

[1] Univ Cologne, Math Inst, D-50931 Cologne, Germany

[2] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 364卷 / 05期

关键词：

p-adic modular forms; mock theta functions; mock modular forms; harmonic weak Maass forms; THETA; RANK;

D O I：

10.1090/S0002-9947-2012-05525-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the question of correcting mock modular forms in order to obtain p-adic modular forms. In certain cases we show that a mock modular form M+ is a p-adic modular form. Furthermore, we prove that otherwise the unique correction of M+ is intimately related to the shadow of M+.

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收藏

页码：2393 / 2410

页数：18

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