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A Hermitian lattice over an imaginary quadratic field $$\mathbb {Q}(\sqrt{-m})$$ Q ( - m ) is called almost universal if it represents all but finitely many positive integers. We investigate almost universal binary Hermitian lattices and provide a Bochnak-Oh type criterion on almost universality. In particular, all almost universal $$p$$ p -anisotropic binary Hermitian lattices are universal, and we give the complete list of all such Hermitian lattices.
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Jan 1, 2014
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