doi:10.1007/BF01190665Kuniaki HorieBirkhäuser-VerlagArchiv Der MathematikK. Horie. Multiplicative groups in some infinite algebraic number fields. Arch. Math., 54(1):32-35, 1990.
Top It! Place the cards in the place value table to get the largest number. One False MoveOrdering of whole numbers, integers and decimals Compare objects within Ten This game involves working with a set of problems on counting; using objects to compare groups which helps young learners ...
\quad (1+\mathfrak{p}^{n}) /(1+\mathfrak{p}^{n+1}) \stackrel{\sigma}{\longrightarrow}(1+\mathfrak{p}^{n}) /(1+\mathfrak{p}^{n+1}), which, since for any x \in k we have \quad (1+\pi^{2} x)^{2}=1+2 x \pi^{n}+x^{2} \pi^{2 n} \equiv 1+2 x...
{1 / e}) / F is unramified, since v_{\mathfrak{q}}\left(\operatorname{disc}\left(x^{e}-u\right)\right)=0 for p \nmid e, so F(u^{1 / e}) / \mathbb{Q}_{p} is unramified and F(u^{1 / e})=\mathbb{Q}_{p}(\zeta_{k}) for some k \in \mathbb{Z}_{\geq...
Ann. Math. 181(2), 587–621 (2015) Article MathSciNet MATH Google Scholar Bhargava, M., Shankar, A., Taniguchi, T., Thorne, F., Tsimerman, J., Zhao, Y.: Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. J. Am. Math. Soc. 33(4...
One of the only apps I've found that let's my son explore number bonds and families and the Singapore Math Methodology. I like the new sound updates. It might be nice to add some sounds for navigation too. Also, a way to keep track of progress and see which groups your having troubl...
On the distribution of class groups of number fields, Experimental Mathematics 19 (2010), no. 4, 465-474.Gunter Malle, On the distribution of class groups of number fields, Experiment. Math. 19 (2010), no. 4, 465-474. MR2778658 (2011m:11224)...
The PS colloidal particles are 244 nm in diameter and stabilized by carboxylate surface groups introduced as comonomers in the synthesis by surfactant-free emulsion polymerization. Over the course of water evaporation, the volume fraction of the colloidal particles gradually increases towards a ...
Abelian Groups in Rational Number Theory 来自 Springer 喜欢 0 阅读量: 14 作者: E Hecke 摘要: In the elementary theory of rational numbers we are constantly dealing with Abelian groups. The set of integers has the properties: (i) a + b is an integer if a and b are integers; a + ...
Random number generators can be classified into three groups, according to the source of their "randomness": True random number generators (TRNGs).This type uses a physical source of randomness to provide truly unpredictable numbers. TRNGs are mainly used for cryptography, because they ...