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Even universal binary Hermitian lattices over imaginary quadratic fields
-
Byeong Moon Kim
,
Ji Young Kim
Published/Copyright:
April 23, 2010
Abstract
A positive definite even Hermitian lattice is called even universal if it represents all even positive integers. We introduce a method to get all even universal binary Hermitian lattices over imaginary quadratic fields 
for all positive square-free integers m and we list optimal criterions on even universality of Hermitian lattices over which admits even universal binary Hermitian lattices.
Keywords.: Binary Hermitian lattices; even universal
Received: 2009-02-27
Revised: 2009-10-25
Published Online: 2010-04-23
Published in Print: 2011-November
© de Gruyter 2011
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Articles in the same Issue
- Almost global existence for quasilinear wave equations with inhomogeneous terms in 3D
- Heegner points and Eisenstein series
- Discrete components of some complementary series
- Even universal binary Hermitian lattices over imaginary quadratic fields
- Combinatorial classification of piecewise hereditary algebras
- Weighted energy estimates for wave equations in exterior domains
- Invariant sets and ergodic decomposition of local semi-Dirichlet forms
- Regularity in parabolic Dini continuous systems
- The reciprocity law for the twisted second moment of Dirichlet L-functions
