Hermitian modular forms congruent to 1 modulo p

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dc.creatorHentschel, Michael
dc.creatorNebe, Gabriele
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:13:56Z
dc.date.available2026-07-07T10:13:56Z
dc.descriptionFor any natural number $\ell $ and any prime $p\equiv 1 \pmod{4}$ not dividing $\ell $ there is a Hermitian modular form of arbitrary genus $n$ over $L:=\Q [\sqrt{-\ell}]$ that is congruent to 1 modulo $p$ which is a Hermitian theta series of an $O_L$-lattice of rank $p-1$ admitting a fixed point free automorphism of order $p$. It is shown that also for non-free lattices such theta series are modular forms.
dc.identifierhttps://arxiv.org/abs/0810.5310
dc.identifierhttp://arxiv.org/abs/0810.5310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172711
dc.subjectNumber Theory
dc.titleHermitian modular forms congruent to 1 modulo p
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