quadratic field

The relationship within non-degenerate linear substitutions which changes quadratic forms into gauge forms over real number field or complex number field and introduction the result into congruent matrices are discussed in this paper.

本文探讨了把实数域或复数域上的二次型化为规范形所采用的非退化线性替换之间的关系，并引入到矩阵的合同关系中。

We give a ( Minkowski) constant MK for several kinds of function field K over Fq ( including totally real function fields and quadratic function fields) such that each fractional ideal class of the ring Ok of integers contains an integral ideal with degree ≤ Mk.

对有限域Eq上某些函数域K（包括全实函数域和二次函数域）给出Minkowski常数Mk。使K的每个分式理想类包含次数≤Mk整理想AOk。

The Double Wave Function Description of Particle Motion in the Quadratic Anharmonic Model Field

二次型非简谐振子模型中粒子运动的双波函数描述

The Equivalence of Discrete Logarithms between Elliptic Curve and Real Quadratic Function Field

椭圆曲线与实二次函数域的DLP等价

In this paper, we find all Pythagorean numbers in the complex quadratic field with class-number two.

摘要本文中求出所有类数为2的二次代数复数体的毕氏数.