Abstract
A Hermitian lattice over an imaginary quadratic field \(\mathbb {Q}(\sqrt{-m})\) 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 \(p\)-anisotropic binary Hermitian lattices are universal, and we give the complete list of all such Hermitian lattices.
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The authors wish to express their gratitude to the Korea Institute for Advanced Study for its support during the conduct of this research.
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Communicated by Ulf Kühn.
The second named author and the third named author were supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2010-0023321), (NRF-2013R1A1A2010614).
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Kim, B.M., Kim, J.Y. & Park, PS. The Kloosterman problem for binary Hermitian lattices. Abh. Math. Semin. Univ. Hambg. 84, 17–29 (2014). https://doi.org/10.1007/s12188-013-0088-9
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DOI: https://doi.org/10.1007/s12188-013-0088-9