Class invariants for certain non-holomorphic modular functions

被引：0

作者：

Braun, Joschka J. ^{[1
]}

Buck, Johannes J. ^{[1
]}

Girsch, Johannes ^{[2
]}

机构：

[1] Tech Univ Darmstadt, D-64289 Darmstadt, Germany

[2] Univ Wien, Fak Math, A-1090 Vienna, Austria

来源：

RESEARCH IN NUMBER THEORY | 2015年 / 1卷 / 01期

关键词：

D O I：

10.1007/s40993-015-0022-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Inspired by previous work of Bruinier-Ono and Mertens-Rolen, we study class polynomials for non-holomorphic modular functions arising from modular forms of negative weight. In particular, we give general conditions for the irreducibility of class polynomials and obtain a general theorem to check when functions constructed in a special way are class invariants.

引用

页数：13

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