两类显式可解的六次方程
Two classes of explicitly solvable sextic equations
摘要：
六次通用首一多项式具有6个先验任意系数。我们表明，如果这6个系数适当地定义在两种不同的方式，|在5个任意参数的情况下，则相应多项式的6个根可以根据这些参数的根显式地计算。我们还报告了2个约束的6个系数的多项式隐含的事实，他们是这样定义的5个任意参数，以及明确确定这5个参数的6个系数的六次多项式。
英文摘要：
The generic monic polynomial of sixth degree features 6 a priori arbitrary coefficients. We show that if these 6 coefficients are appropriately defined in two different ways|in terms of 5 arbitrary parameters, then the 6 roots of the corresponding polynomial can be explicitly computed in terms of radicals of these parameters. We also report the 2 constraints on the 6 coefficients of the polynomial implied by the fact that they are so defined in terms of 5 arbitrary parameters; as well as the explicit determination of these 5 parameters in terms of the 6 coefficients of the sextic polynomial.
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