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.
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页数：13
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