This paper presents the proof of the denseness of rational point in unit circle and proves that circumference ratio is irrational number.
给出了单位圆周上有理点的稠密性证明,对圆周率是无理数给出了证明,应用带余除法,给出了分数必可表示为有限小数或无限循环小数的证明,给出了整数的最大公因数性质的证明。
In the paper,the author discusses a special kind of polynomials with three terms f(z)=zn1(1+zm+zn),and gets a sufficient and necessary condition for the polynomial f that has some zeros in the unit circumference.
考虑系数是0,1的多项式的零点问题,讨论了一类特殊三项式f(z)=zn1(1+zm+zn),得到了其在单位圆周上存在零点一个充分且必要的条件。