• 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