论文标题
Lehmer循环五重奏场的正常积分基础
Normal integral bases of Lehmer's cyclic quintic fields
论文作者
论文摘要
令$ k_n $为由艾玛·莱默（Emma Lehmer）的参数多项式产生的驯服的循环五重奏场。我们仅由$ k_n $提供所有正常的整体基础，仅由多项式的根源，这是莱默的概括，如果$ n^4+5n+5n^3+15n^2+15n^2+25n+25 $是素数，而Spearman-willliams则是$ n^4+5n+5n+5n+5n+5n^3+15n^2+25n^2+25n+25+25+25+25+25+25+25+25+25+25+25+25+25+25+25+25 $ 25+25 $ sarquare。
Let $K_n$ be a tamely ramified cyclic quintic field generated by a root of Emma Lehmer's parametric polynomial. We give all normal integral bases for $K_n$ only by the roots of the polynomial, which is a generalization of the work of Lehmer in the case that $n^4+5n^3+15n^2+25n+25$ is prime number, and Spearman-Willliams in the case that $n^4+5n^3+15n^2+25n+25$ is square-free.
