其实数的种类很多,依据不同的标准划分,还有代数数(Algebraic number):可表示为整系数多项式的根的数;超越数(Transcendental number):任何不是整系数代数方程根的数,即任何不是代数数的复数,为...
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... 参数值 parameter values 代数值 algebraic number; algebraic value 倒数值 reciprocal value ...
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algebraic number field [数] 代数数域 ; 代数数体
arithmetic of algebraic number fields 代数数域的数论
Problems in Algebraic Number Theory 代数数论问题
integral algebraic number 代数整数
absolute algebraic number field [数] 绝对代数数域
Moreove, they used a result of Bach in algebraic number fields to prove that the conjecture holds for p > 10~(17) assuming the Extended Riemann Hypothesis.
他们还利用Bach的一个在代数数域上的结论,证明了当p>10~(17)时,该猜想在推广的Riemann假设下成立。
参考来源 - 虚二次数域上类数与Ono不变量的关系·2,447,543篇论文数据,部分数据来源于NoteExpress
N any number that is a root of a polynomial equation having rational coefficients such as √2 but not π 代数数 → compare transcendental number
The algebraic number more or the transcendental number?
代数数多还是超越数多?
Also, it is proved that many algebraic number fields of finite degree are not elementarily equivalent to the above-mentioned ultraproducts.
还证明了很多有限次代数数域不与上述的超积初等等价。
Then he considers the case of algebraic numbers and obtains some results like the following: Every real algebraic number field of finite degree is non-inductive;
然后着重在代数范围内进行讨论,得到下列的结果:每个有限次实代数数域都不是归纳域;
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