2-universal Hermitian lattices over imaginary quadratic fields

被引：0
作者：
Myung-Hwan Kim
Poo-Sung Park
机构：
[1] Seoul National University,Department of Mathematical Sciences
[2] Kyungnam University,Department of Mathematics Education
来源：
The Ramanujan Journal | 2010年 / 22卷
关键词：
Hermitian forms; Local representation; 2-universality; 11E39; 11E41;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find all 2-universal ternary and quaternary Hermitian lattices over imaginary quadratic number fields.
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页码：139 / 151
页数：12
相关论文
共 23 条
  • [1] Earnest A.(1997)Universal binary Hermitian forms Math. Comput. 66 1161-1168
  • [2] Khosravani A.(1970)Integral decomposition of Hermitian forms Am. J. Math. 92 398-418
  • [3] Gerstein L.J.(2000)Universal binary positive definite Hermitian lattices Rocky Mt. J. Math. 30 951-959
  • [4] Iwabuchi H.(1968)Integral representation of hermitian forms over local fields J. Reine Angew. Math. 229 57-80
  • [5] Johnson A.A.(2004)Recent developments on universal forms Contemp. Math. 344 215-228
  • [6] Kim M.-H.(1999)2-universal positive definite integral quinary quadratic forms Contemp. Math. 249 51-62
  • [7] Kim B.M.(2005)A finiteness theorem for representability of quadratic forms by forms J. Reine Angew. Math. 581 23-30
  • [8] Kim M.-H.(2010)The fifteen theorem for Hermitian lattices over imaginary quadratic fields Math. Comput. 79 1123-1144
  • [9] Oh B.-K.(2007)A few uncaught universal Hermitian forms Proc. Am. Math. Soc. 135 47-49
  • [10] Kim B.M.(1930)A new Waring’s problem with squares of linear forms Quart. J. Math. Oxf. 1 276-288
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