East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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FINITENESS THEOREMS FOR 2-UNIVERSAL HERMITIAN LATTICES OVER SOME IMAGINARY QUADRATIC FIELDS

  • Park, Poo-Sung (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)
  • Received : 2010.05.01
  • Accepted : 2010.10.27
  • Published : 2010.11.30
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Abstract

A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find some finiteness theorems which ensure 2-universality of Hermitian lattices over several imaginary quadratic number fields.

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