A mixed mock modular solution of the Kaneko–Zagier equation

A mixed mock modular solution of the Kaneko–Zagier equation
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Kaneko-Zagier 方程的混合模拟模块化解

DOI:
10.1007/s11139-013-9496-9
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发表时间:
2015
期刊:
The Ramanujan Journal
影响因子:
--
通讯作者:
P. Guerzhoy
P. Guerzhoy
中科院分区:
--
文献类型:
--
作者:
P. Guerzhoy

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混合模拟模形式的概念最近由Don Zagier引入。我们表明,某些解决方案的Kaneko-Zagier微分方程构成简单而非平凡的例子,这一概念。这使我们能够解决Kaneko和Koike对这些解决方案的(非)模块性提出的问题。
The notion of mixed mock modular forms was recently introduced by Don Zagier. We show that certain solutions of the Kaneko–Zagier differential equation constitute simple yet non-trivial examples of this notion. That allows us to address a question posed by Kaneko and Koike on the (non)-modularity of these solutions.
DOI: 10.1007/0-387-22081-x_7
发表时间: 2020-05
期刊: An Introduction to Probabilistic Number Theory
影响因子: --
作者:
Don Redmond
通讯作者: Don Redmond
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者:
Shunsuke Takagi;Ken-ichi Yoshida;Masanobu Kaneko
通讯作者: Masanobu Kaneko