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Hermitian Modular Forms of Degree 2 over the Eisenstein Integers

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

Abstract

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 \(\sqrt{ -3}\).

Keywords

Hermitian Modular Forms Theta Constants Graded Ring Congruence Subgroup Modular Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

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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