A sum which includes both the Jacobi triple product and the q-binomial theorem as special cases. Ramanujan's sum is
where the notation denotes q-series. For , this becomes the q-binomial theorem.
A sum which includes both the Jacobi triple product and the q-binomial theorem as special cases. Ramanujan's sum is
where the notation denotes q-series. For , this becomes the q-binomial theorem.
Weisstein, Eric W. "Ramanujan Psi Sum." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RamanujanPsiSum.html