On divisibility of binomial coefficients

✍ Scribed by Marko Razpet

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 141 KB
• Volume: 135
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(93)e0104-c

✦ Synopsis

The Lucas theorem for binomial coefficients implies some interesting tensor product properties of certain matrices regarded for every prime p in the field TP.

Let us define the array of numbers C(i,j) for all nonnegative integers i and j by binomial coefficients:

0 _i '

We may display the numbers C(i,j) as a matrix as follows:

C(O, 0) co 1) ccl, 0) w 1)