A $p$-adic Hermitian Maass lift

@article{Berger2016AH,
  title={A \$p\$-adic Hermitian Maass lift},
  author={Tobias Berger and Krzysztof Klosin},
  journal={arXiv: Number Theory},
  year={2016},
  pages={85-114}
}
  • Tobias Berger, Krzysztof Klosin
  • Published 2016
  • Mathematics
  • arXiv: Number Theory
  • For $K$ an imaginary quadratic field with discriminant $-D_K$ and associated quadratic Galois character $\chi_K$, Kojima, Gritsenko and Krieg studied a Hermitian Maass lift of elliptic modular cusp forms of level $D_K$ and nebentypus $\chi_K$ via Hermitian Jacobi forms to Hermitian modular forms of level one for the unitary group $U(2,2)$ split over $K$. We generalize this (under certain conditions on $K$ and $p$) to the case of $p$-oldforms of level $pD_K$ and character $\chi_K$. To do this… CONTINUE READING
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