关于几个特殊整数表达式的Hall因子(英文)

On Hall Factors of Several Special Integral Expressions

设d,e,f分别是a=∏ni=2,b=∏ni=2(qi-(-1)i),c=∏ni=1(q2i-1)的因子并且满足ad,d=1,be,e=1和cf,f=1.如此之d,e,f分别是a,b,c的Hall因子.对a,b,c的Hall因子的大小作出了估计.

Suppose that a=Ⅱn（i=2）（q^i-1）,b=Ⅱn（i=2）（q^t-（-1）^i） and c= Ⅱn（i=2）（q^2i-1）.The Hall factors of a,b and c are defined as positive integers d, e and f respectively such that（a/d,d）=1,（b/e,e）=1 and （c/f,f）=1,The values of such kind of factors are estimated.