annular phasing

This paper presents the proof of the denseness of rational point in unit circle and proves that circumference ratio is irrational number.

給出了單位圓周上有理點的稠密性證明,對圓周率是無理數給出了證明,應用帶余除法,給出了分數必可表示為有限小數或無限循環小數的證明,給出了整數的最大公因數性質的證明。

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.

考慮系數是0,1的多項式的零點問題,討論了一類特殊三項式f(z)=zn1(1+zm+zn),得到了其在單位圓周上存在零點一個充分且必要的條件。