Title of article
The graded ring of Hermitian modular forms of degree 2 over
Author/Authors
Tobias Dern، نويسنده , , Aloys Krieg، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
25
From page
241
To page
265
Abstract
We describe the graded ring of symmetric Hermitian modular forms of even weights and degree 2 over in terms of generators and relations. All the 8 generators of weight up to 12 are Maaß lifts and some of them can also be obtained from Borcherds products. Moreover, we construct generators for the module over this ring consisting of all Hermitian modular forms with respect to the commutator subgroup. As an application the field of Hermitian modular functions over is determined. Finally, we construct 5 algebraically independent symmetric Hermitian modular forms in terms of theta series.
Keywords
Hermitian modular forms , graded ring
Journal title
Journal of Number Theory
Serial Year
2004
Journal title
Journal of Number Theory
Record number
715608
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