A remarkable basic hypergeometric identity

Christian Krattenthaler, Wadim Zudilin

Abstract

We give a closed form for $quotients$ of truncated basic hypergeometric series where the base $q$ is evaluated at roots of unity.

We give a closed form for

of truncated basic hypergeometric series where the base

is evaluated at roots of unity.

Paper Structure (1 theorem, 30 equations)

This paper contains 1 theorem, 30 equations.

Theorem 1

For $\zeta=\zeta_n$ a primitive $n$th root of unity and $\ell_1,\ell_2\ge0$ integers, define $F_n(a,\zeta)=F_n(a,\zeta;\ell_1,\ell_2)$. Then