Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Long ago , I once saw a nontrivial appealing binomial type of identity that I never saw again. It was something along the line of $\Sigma$$\binom{a(x)}{b(y)}$= where $a$ and $b$ where polynomials not all constant or linear.

I was never able to find that identity again and only realised the imho weird fact of polynomials involved much later. The sum had a simple parameter such as from 0 to $n$ or such and the polynomials were of degree at most 5. Also the amount of variables was low. Im sorry if this is a bit vague but I can't recall much more. Does anybody have an idea what this identity might have been ? Or where it comes from ? Or how to prove it ? I believe it was related to number theory and divisibility but im not completely sure. Maybe it relates to Apery's proof of the irrationality of zeta(3) but again im not sure. I did not see a proof of it , but at the time i did test it numerically and it hold. I guess that makes this a reference request unless someone know alot about these rare identities or I missed something trivial.

share|improve this question

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.