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Infinitely many regular subnormal binary Hermitian lattices over imaginary quadratic fields

김지영|박부성|김병문
영남수학회 (Youngnam Mathematical Society)|2012.05|East Asian Mathematical Journal|제28권 제3호|pp. 333-337|DOI http://dx.doi.org/

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참고문헌

키워드

Hermitian latticesregular lattices.
주제분류수학

초록

Finiteness of regular normal binary Hermitian lattices are known in several articles. In this article, we point out that there are infinitely many imaginary quadratic fields that admit a regular subnormal binary Hermitian lattice.

Abstract

Finiteness of regular normal binary Hermitian lattices are known in several articles. In this article, we point out that there are infinitely many imaginary quadratic fields that admit a regular subnormal binary Hermitian lattice.

참고문헌 (15)

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  5. L. E. Dickson, "Ternary quadratic forms and congruences", Ann. of Math, 28, pp.331~341 (1927)
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  9. B.M. Kim, "Complete classi action of binary normal regular Her- mitian lattices over imaginary quadratic elds", J. Math. Soc, 63, pp.1001~1025 (2011)
  10. B.M. Kim, "Even universal binary Hermitian lattices over imagi- nary quadratic elds", Forum Math, 23, pp.1189~1201 (2011)
  11. B. M. Kim, "Hermitian lattices without a basis of minimal vectors", Proc. Amer. Math. Soc, 136, pp.3041~3044 (2008)
  12. 박부성, "A few uncaught universal hermitian forms", PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 135(1), pp.47~49 (2007), AMER MATHEMATICAL SOC
  13. O. T. O'Meara, "Introduction to Quadratic Forms" (1973), Spinger-Verlag
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관련 논문AI추천

FINITENESS THEOREMS FOR 2-UNIVERSAL HERMITIAN LATTICES OVER SOME IMAGINARY QUADRATIC FIELDS박부성영남수학회 · East Asian Mathematical Journal2010 · 제26권 제5호Construction of the Hilbert class field of some imaginary quadratic fields오장헌강원경기수학회 · 한국수학논문집2018 · 제26권 제2호Primitive even 2-regular positive quaternary quadratic forms오병권대한수학회 · 대한수학회지2008 · 제45권 제3호Universal Quaternary Lattices over F_q[x]이종규영남수학회 · East Asian Mathematical Journal2012 · 제28권 제5호Hilbert 2-class field towers of imaginary quadratic function fields정환엽대한수학회 · 대한수학회보2013 · 제50권 제3호8-RANKS OF CLASS GROUPS OF IMAGINARY QUADRATIC NUMBER FIELDS AND THEIR DENSITIES정환엽, Qin Yue대한수학회 · 대한수학회지2011 · 제48권 제6호

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