Modular periodicity of binomial coefficients

Details Modular periodicity of binomial coefficients Modular periodicity of binomial coefficients

2005-10-05

arxiv.org/abs/math/0510100v2

Journal of Number Theory 117 (2006), no. 2, 471-481

Mathematics

Number Theory

8 pages. Somehow, the references were missing in the previous version. An error in the abstract (but not in the main text) of

Scientific paper

10.1016/j.jnt.2005.07.005

We prove that if the signed binomial coefficient $(-1)^i\binom{k}{i}$ viewed modulo p is a periodic function of i with period h prime to p in the range $0\le i\le k$, then k+1 is a power of p, provided h is not too large compared to k. (In particular, $2h\le k$ suffices.) As an application, we prove that if G and H are multiplicative subgroups of a finite field, with H

Affiliated with

Also associated with

No associations

Rating

Modular periodicity of binomial coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modular periodicity of binomial coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modular periodicity of binomial coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-250355