期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
DOI：10.1155/S0161171298000805
出版社：Hindawi Publishing Corporation
摘要：We obtain infinite products related to the concept of visible from the origin point vectors.
Among these is
∏k=3∞(1−Z)φ,(k)/k=11−Zexp(Z32(1−Z)2−12Z−12Z(1−Z)),  |Z|<1,
in which φ3(k) denotes for fixed k, the number of positive integer solutions of (a,b,k)=1 where
a<b<k, assuming (a,b,k) is the gcd(a,b,k).
