On the least common multiple of $q$-binomial coefficients

Details On the least common multiple of $q$-binomial coefficients On the least common multiple of $q$-binomial coefficients

2009-07-16

arxiv.org/abs/0907.2870v1

Integers 10 (2010), 351--356

Mathematics

Number Theory

5 pages

Scientific paper

10.1515/INTEG.2010.029

In this paper, we prove the following identity $$ \lcm({n\brack 0}_q,{n\brack
1}_q,...,{n\brack n}_q) =\frac{\lcm([1]_q,[2]_q,...,[n+1]_q)}{[n+1]_q}, $$
where ${n\brack k}_q$ denotes the $q$-binomial coefficient and
$[n]_q=\frac{1-q^n}{1-q}$. This result is a $q$-analogue of an identity of
Farhi [Amer. Math. Monthly, November (2009)].

Affiliated with

Also associated with

No associations

Rating

On the least common multiple of $q$-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 On the least common multiple of $q$-binomial coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the least common multiple of $q$-binomial coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622425