| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595667 | Journal of Number Theory | 2006 | 11 Pages |
Abstract
We prove that if the signed binomial coefficient viewed modulo p is a periodic function of i with period h in the range 0⩽i⩽k, then k+1 is a power of p, provided h is not too large compared to k. (In particular, 2h⩽k suffices). As an application, we prove that if G and H are multiplicative subgroups of a finite field, with H
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
