Hermitian Modular Forms of Degree 2 over the Eisenstein Integers

  • Martin WoitallaEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 115)


In 2003 Dern and Krieg considered Hermitian modular forms with respect to \(\mathbb{Q}(\sqrt{-3})\). They showed that the graded subring of symmetric modular forms is generated by theta constants. In this work we use the associated 5-dimensional representation of \(\mathrm{PSp}(2,\mathbb{F}_{3})\) to describe the graded rings with respect to important congruence subgroups of level \(\sqrt{ -3}\).


Hermitian Modular Forms Theta Constants Graded Ring Congruence Subgroup Modular Group 
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We would like to thank the organizers of the conference and the workshop as well as the referee for valuable suggestions.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Lehrstuhl A für MatheamtikRWTH UniversityAachenGermany

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