be the generating function of t” (n). In [l], Chaundy considered the problem of determining eK (x) in terms of tte “one-dimensional” function e (x). However, his formulas are incorrect, and the… (More)

Let k = p11p a2 2 · · ·p am m be the prime factorization of a positive integer k and let bk(n) denote the number of partitions of a non-negative integer n into parts none of which are multiples of k.… (More)

Suppose A ,,..., A, are subsets of a finite set A, and B ,,..., B, are subsets of a finite set B. For each subset S of N= (1, 2,..., n), let A, = nies Ai and B, = nisS Bi. It is shown that if… (More)

Schur's partition theorem asserts the equality S{n) = Si («), where S(n) is the number of partitions of n into distinct parts = 1, 2 (mod 3) and Si (n) is the number of partitions of n into parts… (More)

T HE EXISTENCE of arterio-venous anastomoses in such parts of the body as the hands and feet of humans, or paws of animals, the rabbit’s ear and the claws of birds has been well established. The… (More)