A Simple Proof of Schmidt's Conjecture

Details A Simple Proof of Schmidt's Conjecture A Simple Proof of Schmidt's Conjecture

2012-03-16

arxiv.org/abs/1203.3731v1

Mathematics

Combinatorics

4 pages

Scientific paper

For any integer $r \geq 1$, the sequence of numbers $\{{c^{(r)}_{k}}\}_{k
\geq 0} $ is defined implicitly by [\sum_k\binom{n}{k}^r\binom{n+k}{k}^r =
\sum_k\binom{n}{k}\binom{n+k}{k}c^{(r)}_k,\quad n=0,1,2,...] Asmus Schmidt
conjectured that all $c^{(r)}_k$ are integers. We give a new proof of this
fact.

Affiliated with

Also associated with

No associations

Rating

A Simple Proof of Schmidt's Conjecture 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 A Simple Proof of Schmidt's Conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Simple Proof of Schmidt's Conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-352032