2) Quadratic field
二次域
1.
An extension of Brown Graha, on imaginary quadratic field is given base on Brown Graha Theorem.
在将 Brown- Graha定理在虚二次域上进行深化的基础上对 Brown- Graha定理进一步在二次域集上进行了深化 ,其使用范围更广泛 ,应用更方便 。
2.
In this note, the author gives a better method to find all DFT over risidue classes ringof integers in the quadratic field by less calculations.
本文将对二次域中整数剩余类环上的ＤＦＴ给出较满意的解决。
3.
In this paper we shall discuss the problems of basic form numbers—Pronic numbers , triangular numbers and pentagonal numbers in two recurrent sequences {U_n} and {V_n}, which arising in the units U_n + V_n3 =(2+3)~n of quadratic field Q (3).
本文将对二次域Q ((3)~(1/2))中单位U_n + V_n3~(1/2) =(2+(3)~(1/2))~n所给出的两个递归数列{U_n}、{V_n}中的基本形数--Pronic数、三角数、五角数进行研究,给出了完整的结果。
3) quadratic number field
二次域
1.
In this paper, with Siegel-Tatuzawa Theorem we give an upper bound of the fundamental critical form for the quadratic number field whose all ideals areAmbiguous ones.
本文运用Siegel—Tatuzawa定理讨论了任一理想均为Ambiguous理想的二次域Q(d～(1/d))的基本判别式d的上界问题。
2.
In this paper,for any ideal class of the real quadratic number fields,the authors give the obvious value at-3 of its zeta-function,by using the continued frac- tions.
用简单连分数给出了实二次域理想类的Zeta-函数在-3处值的一个具体的计算公式。
4) quadratic field
二次数域
1.
In this paper, the sufficient conditions that there s no present of Euclidean algorithm in some quadratic fields are given.
给出了某些二次数域中不存在Ｅｕｃｌｉｄ算法的一个充分条件。
5) Imaginary quadratic field
虚二次域
1.
The divisibility of class numbers of imaginary quadratic fields;
虚二次域类数的可除性(英文)
2.
Let D be a positive integer with square free, and let h(D) be the class number of imaginary quadratic field Q(-D) In this paper, we prove that if D7(mod8), then the positive integer solutions (x,y,n) satisfy 5 gcd (n,h(-D))n.
设D是无平方因子正整数,h(-D)是虚二次域Q(-D)的类数。
3.
In the paper,an extension of Brown-Graha theorem on imaginary quadratic field is given.
在虚二次域上深化了Ｂｒｏｗｎ－Ｇｒａｈａ定理，用代数数论工具得到了整系数多项式不可约的判别法，其方法应用较为方便。
6) real quadratic fields
实二次域
1.
In this note, we prove a congruence relation on real quadratic fields which relates class number and certain character sum.
本文证明了关于实二次域的类数和某类特征和的同余式,同时给出某类实二次域的类数可除性的一个判别法则。
补充资料：双[1-(4-二甲氨基)苯基2-苯基1,2-二硫代乙烯合镍]
分子式：
CAS号：
性质：紫黑色单斜晶体。熔点277～278℃。溶于苯、甲苯、三氯甲烷等大多数有机溶剂。红外频率υ(C＝S)1190、1165、1140cm-1,红外频率υ(S-C-C-S)880cm-1。由对二甲氨基安息香、五硫化二磷在二噁烷(二氧六环)中反应后,加入镍(Ⅱ)盐溶液制得。用作光学非线性材料。
CAS号：
性质：紫黑色单斜晶体。熔点277～278℃。溶于苯、甲苯、三氯甲烷等大多数有机溶剂。红外频率υ(C＝S)1190、1165、1140cm-1,红外频率υ(S-C-C-S)880cm-1。由对二甲氨基安息香、五硫化二磷在二噁烷(二氧六环)中反应后,加入镍(Ⅱ)盐溶液制得。用作光学非线性材料。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条