A CLOSER LOOK AT SOME NEW IDENTITIES

GEOFFREY B. CAMPBELL

《International Journal of Mathematics and Mathematical Sciences》 1998卷 (1998/12) Pp. 581-586

https://doi.org/10.1155/S0161171298000805

摘要

We obtain infinite products related to the concept of visible from the origin point vectors. Among these is(The equation is abbreviated) in which φ,(k) denotes for fixed k, the number of positive integer solutions of (a,b,k)= where a ＜ b ＜ k, assuming (a, b, k) is the gcd(a, b, k)

關鍵字

Combinatorial identities ； Combinatorial number theory ； Lattice points in specified regions ； Partitions (elementary number theory)